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Finding the Fourth Proportional to 393.71, 542.03 and 374.23

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Solution

The fourth proportional to 393.71, 542.03 and 374.23 is: 515.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.71 : 542.03 = 374.23 : x
  2. Step 2: Convert to fraction form
    393.71/542.03 = 374.23/x
  3. Step 3: Cross multiply
    393.71x = 542.03 × 374.23
  4. Step 4: Simplify right side
    393.71x = 202,841.17
  5. Step 5: Solve for x
    x = 202,841.17/393.71
  6. Step 6: Final answer
    x = 515.20

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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.