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Finding the Fourth Proportional to 392.67, 542.47 and 258.40

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Solution

The fourth proportional to 392.67, 542.47 and 258.40 is: 356.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.67 : 542.47 = 258.40 : x
  2. Step 2: Convert to fraction form
    392.67/542.47 = 258.40/x
  3. Step 3: Cross multiply
    392.67x = 542.47 × 258.40
  4. Step 4: Simplify right side
    392.67x = 140,171.54
  5. Step 5: Solve for x
    x = 140,171.54/392.67
  6. Step 6: Final answer
    x = 356.97

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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.