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Finding the Fourth Proportional to 643.22, 964.80 and 180.99

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Solution

The fourth proportional to 643.22, 964.80 and 180.99 is: 271.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.22 : 964.80 = 180.99 : x
  2. Step 2: Convert to fraction form
    643.22/964.80 = 180.99/x
  3. Step 3: Cross multiply
    643.22x = 964.80 × 180.99
  4. Step 4: Simplify right side
    643.22x = 174,619.83
  5. Step 5: Solve for x
    x = 174,619.83/643.22
  6. Step 6: Final answer
    x = 271.48

Related Problems

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Half scale
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Double scale
Find fourth proportional to 644.22, 966.30 and 181.99
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.