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Finding the Fourth Proportional to 392.28, 588.28 and 118.29

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Solution

The fourth proportional to 392.28, 588.28 and 118.29 is: 177.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.28 : 588.28 = 118.29 : x
  2. Step 2: Convert to fraction form
    392.28/588.28 = 118.29/x
  3. Step 3: Cross multiply
    392.28x = 588.28 × 118.29
  4. Step 4: Simplify right side
    392.28x = 69,587.64
  5. Step 5: Solve for x
    x = 69,587.64/392.28
  6. Step 6: Final answer
    x = 177.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.