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Finding the Fourth Proportional to 392.81, 542.38 and 245.71

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Solution

The fourth proportional to 392.81, 542.38 and 245.71 is: 339.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.81 : 542.38 = 245.71 : x
  2. Step 2: Convert to fraction form
    392.81/542.38 = 245.71/x
  3. Step 3: Cross multiply
    392.81x = 542.38 × 245.71
  4. Step 4: Simplify right side
    392.81x = 133,265.48
  5. Step 5: Solve for x
    x = 133,265.48/392.81
  6. Step 6: Final answer
    x = 339.26

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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.