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Finding the Fourth Proportional to 147.20, 204.14 and 132.80

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Solution

The fourth proportional to 147.20, 204.14 and 132.80 is: 184.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.20 : 204.14 = 132.80 : x
  2. Step 2: Convert to fraction form
    147.20/204.14 = 132.80/x
  3. Step 3: Cross multiply
    147.20x = 204.14 × 132.80
  4. Step 4: Simplify right side
    147.20x = 27,109.79
  5. Step 5: Solve for x
    x = 27,109.79/147.20
  6. Step 6: Final answer
    x = 184.17

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.