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Finding the Fourth Proportional to 393.74, 542.73 and 310.71

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Solution

The fourth proportional to 393.74, 542.73 and 310.71 is: 428.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.74 : 542.73 = 310.71 : x
  2. Step 2: Convert to fraction form
    393.74/542.73 = 310.71/x
  3. Step 3: Cross multiply
    393.74x = 542.73 × 310.71
  4. Step 4: Simplify right side
    393.74x = 168,631.64
  5. Step 5: Solve for x
    x = 168,631.64/393.74
  6. Step 6: Final answer
    x = 428.28

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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.