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Finding the Fourth Proportional to 502.22, 753.44 and 319.16

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Solution

The fourth proportional to 502.22, 753.44 and 319.16 is: 478.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.22 : 753.44 = 319.16 : x
  2. Step 2: Convert to fraction form
    502.22/753.44 = 319.16/x
  3. Step 3: Cross multiply
    502.22x = 753.44 × 319.16
  4. Step 4: Simplify right side
    502.22x = 240,468.20
  5. Step 5: Solve for x
    x = 240,468.20/502.22
  6. Step 6: Final answer
    x = 478.81

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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.