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Finding the Fourth Proportional to 393.73, 542.63 and 314.90

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Solution

The fourth proportional to 393.73, 542.63 and 314.90 is: 433.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.73 : 542.63 = 314.90 : x
  2. Step 2: Convert to fraction form
    393.73/542.63 = 314.90/x
  3. Step 3: Cross multiply
    393.73x = 542.63 × 314.90
  4. Step 4: Simplify right side
    393.73x = 170,874.30
  5. Step 5: Solve for x
    x = 170,874.30/393.73
  6. Step 6: Final answer
    x = 433.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.