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Finding the Fourth Proportional to 392.73, 542.68 and 282.02

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Solution

The fourth proportional to 392.73, 542.68 and 282.02 is: 389.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.73 : 542.68 = 282.02 : x
  2. Step 2: Convert to fraction form
    392.73/542.68 = 282.02/x
  3. Step 3: Cross multiply
    392.73x = 542.68 × 282.02
  4. Step 4: Simplify right side
    392.73x = 153,045.23
  5. Step 5: Solve for x
    x = 153,045.23/392.73
  6. Step 6: Final answer
    x = 389.69

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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.