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Finding the Fourth Proportional to 392.91, 542.16 and 235.50

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Solution

The fourth proportional to 392.91, 542.16 and 235.50 is: 324.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.91 : 542.16 = 235.50 : x
  2. Step 2: Convert to fraction form
    392.91/542.16 = 235.50/x
  3. Step 3: Cross multiply
    392.91x = 542.16 × 235.50
  4. Step 4: Simplify right side
    392.91x = 127,678.68
  5. Step 5: Solve for x
    x = 127,678.68/392.91
  6. Step 6: Final answer
    x = 324.96

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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.