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Finding the Fourth Proportional to 144.26, 215.31 and 132.90

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Solution

The fourth proportional to 144.26, 215.31 and 132.90 is: 198.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.26 : 215.31 = 132.90 : x
  2. Step 2: Convert to fraction form
    144.26/215.31 = 132.90/x
  3. Step 3: Cross multiply
    144.26x = 215.31 × 132.90
  4. Step 4: Simplify right side
    144.26x = 28,614.03
  5. Step 5: Solve for x
    x = 28,614.03/144.26
  6. Step 6: Final answer
    x = 198.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.