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Finding the Fourth Proportional to 392.64, 538.96 and 347.39

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Solution

The fourth proportional to 392.64, 538.96 and 347.39 is: 476.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.64 : 538.96 = 347.39 : x
  2. Step 2: Convert to fraction form
    392.64/538.96 = 347.39/x
  3. Step 3: Cross multiply
    392.64x = 538.96 × 347.39
  4. Step 4: Simplify right side
    392.64x = 187,229.31
  5. Step 5: Solve for x
    x = 187,229.31/392.64
  6. Step 6: Final answer
    x = 476.85

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.