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Finding the Fourth Proportional to 392.48, 542.40 and 314.72

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Solution

The fourth proportional to 392.48, 542.40 and 314.72 is: 434.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.48 : 542.40 = 314.72 : x
  2. Step 2: Convert to fraction form
    392.48/542.40 = 314.72/x
  3. Step 3: Cross multiply
    392.48x = 542.40 × 314.72
  4. Step 4: Simplify right side
    392.48x = 170,704.13
  5. Step 5: Solve for x
    x = 170,704.13/392.48
  6. Step 6: Final answer
    x = 434.94

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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.