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Finding the Fourth Proportional to 502.14, 752.28 and 316.53

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Solution

The fourth proportional to 502.14, 752.28 and 316.53 is: 474.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.14 : 752.28 = 316.53 : x
  2. Step 2: Convert to fraction form
    502.14/752.28 = 316.53/x
  3. Step 3: Cross multiply
    502.14x = 752.28 × 316.53
  4. Step 4: Simplify right side
    502.14x = 238,119.19
  5. Step 5: Solve for x
    x = 238,119.19/502.14
  6. Step 6: Final answer
    x = 474.21

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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.