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Finding the Fourth Proportional to 643.37, 964.90 and 181.02

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Solution

The fourth proportional to 643.37, 964.90 and 181.02 is: 271.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.37 : 964.90 = 181.02 : x
  2. Step 2: Convert to fraction form
    643.37/964.90 = 181.02/x
  3. Step 3: Cross multiply
    643.37x = 964.90 × 181.02
  4. Step 4: Simplify right side
    643.37x = 174,666.20
  5. Step 5: Solve for x
    x = 174,666.20/643.37
  6. Step 6: Final answer
    x = 271.49

Related Problems

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Half scale
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Double scale
Find fourth proportional to 644.37, 966.40 and 182.02
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.