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Finding the Fourth Proportional to 144.35, 215.45 and 132.17

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Solution

The fourth proportional to 144.35, 215.45 and 132.17 is: 197.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.35 : 215.45 = 132.17 : x
  2. Step 2: Convert to fraction form
    144.35/215.45 = 132.17/x
  3. Step 3: Cross multiply
    144.35x = 215.45 × 132.17
  4. Step 4: Simplify right side
    144.35x = 28,474.29
  5. Step 5: Solve for x
    x = 28,474.29/144.35
  6. Step 6: Final answer
    x = 197.27

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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.