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Finding the Fourth Proportional to 147.07, 220.49 and 101.29

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Solution

The fourth proportional to 147.07, 220.49 and 101.29 is: 151.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.07 : 220.49 = 101.29 : x
  2. Step 2: Convert to fraction form
    147.07/220.49 = 101.29/x
  3. Step 3: Cross multiply
    147.07x = 220.49 × 101.29
  4. Step 4: Simplify right side
    147.07x = 22,332.58
  5. Step 5: Solve for x
    x = 22,332.58/147.07
  6. Step 6: Final answer
    x = 151.85

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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.