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Finding the Fourth Proportional to 147.58, 220.52 and 129.04

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Solution

The fourth proportional to 147.58, 220.52 and 129.04 is: 192.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.58 : 220.52 = 129.04 : x
  2. Step 2: Convert to fraction form
    147.58/220.52 = 129.04/x
  3. Step 3: Cross multiply
    147.58x = 220.52 × 129.04
  4. Step 4: Simplify right side
    147.58x = 28,455.90
  5. Step 5: Solve for x
    x = 28,455.90/147.58
  6. Step 6: Final answer
    x = 192.82

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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.