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Finding the Fourth Proportional to 147.47, 221.31 and 132.03

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Solution

The fourth proportional to 147.47, 221.31 and 132.03 is: 198.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.47 : 221.31 = 132.03 : x
  2. Step 2: Convert to fraction form
    147.47/221.31 = 132.03/x
  3. Step 3: Cross multiply
    147.47x = 221.31 × 132.03
  4. Step 4: Simplify right side
    147.47x = 29,219.56
  5. Step 5: Solve for x
    x = 29,219.56/147.47
  6. Step 6: Final answer
    x = 198.15

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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.