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Finding the Fourth Proportional to 392.72, 542.08 and 237.60

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Solution

The fourth proportional to 392.72, 542.08 and 237.60 is: 327.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.72 : 542.08 = 237.60 : x
  2. Step 2: Convert to fraction form
    392.72/542.08 = 237.60/x
  3. Step 3: Cross multiply
    392.72x = 542.08 × 237.60
  4. Step 4: Simplify right side
    392.72x = 128,798.21
  5. Step 5: Solve for x
    x = 128,798.21/392.72
  6. Step 6: Final answer
    x = 327.96

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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.