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Finding the Fourth Proportional to 147.48, 221.37 and 101.73

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Solution

The fourth proportional to 147.48, 221.37 and 101.73 is: 152.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.48 : 221.37 = 101.73 : x
  2. Step 2: Convert to fraction form
    147.48/221.37 = 101.73/x
  3. Step 3: Cross multiply
    147.48x = 221.37 × 101.73
  4. Step 4: Simplify right side
    147.48x = 22,519.97
  5. Step 5: Solve for x
    x = 22,519.97/147.48
  6. Step 6: Final answer
    x = 152.70

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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.