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Finding the Fourth Proportional to 147.44, 221.18 and 75.29

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Solution

The fourth proportional to 147.44, 221.18 and 75.29 is: 112.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.44 : 221.18 = 75.29 : x
  2. Step 2: Convert to fraction form
    147.44/221.18 = 75.29/x
  3. Step 3: Cross multiply
    147.44x = 221.18 × 75.29
  4. Step 4: Simplify right side
    147.44x = 16,652.64
  5. Step 5: Solve for x
    x = 16,652.64/147.44
  6. Step 6: Final answer
    x = 112.95

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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.