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Finding the Fourth Proportional to 392.49, 588.73 and 132.43

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Solution

The fourth proportional to 392.49, 588.73 and 132.43 is: 198.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.49 : 588.73 = 132.43 : x
  2. Step 2: Convert to fraction form
    392.49/588.73 = 132.43/x
  3. Step 3: Cross multiply
    392.49x = 588.73 × 132.43
  4. Step 4: Simplify right side
    392.49x = 77,965.51
  5. Step 5: Solve for x
    x = 77,965.51/392.49
  6. Step 6: Final answer
    x = 198.64

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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.