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Finding the Fourth Proportional to 509.74, 764.61 and 221.02

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Solution

The fourth proportional to 509.74, 764.61 and 221.02 is: 331.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.74 : 764.61 = 221.02 : x
  2. Step 2: Convert to fraction form
    509.74/764.61 = 221.02/x
  3. Step 3: Cross multiply
    509.74x = 764.61 × 221.02
  4. Step 4: Simplify right side
    509.74x = 168,994.10
  5. Step 5: Solve for x
    x = 168,994.10/509.74
  6. Step 6: Final answer
    x = 331.53

Related Problems

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Double scale
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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.