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Finding the Fourth Proportional to 502.06, 752.14 and 319.06

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Solution

The fourth proportional to 502.06, 752.14 and 319.06 is: 477.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.06 : 752.14 = 319.06 : x
  2. Step 2: Convert to fraction form
    502.06/752.14 = 319.06/x
  3. Step 3: Cross multiply
    502.06x = 752.14 × 319.06
  4. Step 4: Simplify right side
    502.06x = 239,977.79
  5. Step 5: Solve for x
    x = 239,977.79/502.06
  6. Step 6: Final answer
    x = 477.99

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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.