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Finding the Fourth Proportional to 392.92, 542.34 and 237.64

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Solution

The fourth proportional to 392.92, 542.34 and 237.64 is: 328.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.92 : 542.34 = 237.64 : x
  2. Step 2: Convert to fraction form
    392.92/542.34 = 237.64/x
  3. Step 3: Cross multiply
    392.92x = 542.34 × 237.64
  4. Step 4: Simplify right side
    392.92x = 128,881.68
  5. Step 5: Solve for x
    x = 128,881.68/392.92
  6. Step 6: Final answer
    x = 328.01

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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.