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Finding the Fourth Proportional to 144.14, 215.43 and 132.60

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Solution

The fourth proportional to 144.14, 215.43 and 132.60 is: 198.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.14 : 215.43 = 132.60 : x
  2. Step 2: Convert to fraction form
    144.14/215.43 = 132.60/x
  3. Step 3: Cross multiply
    144.14x = 215.43 × 132.60
  4. Step 4: Simplify right side
    144.14x = 28,566.33
  5. Step 5: Solve for x
    x = 28,566.33/144.14
  6. Step 6: Final answer
    x = 198.19

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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.