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Finding the Fourth Proportional to 147.07, 220.18 and 112.96

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Solution

The fourth proportional to 147.07, 220.18 and 112.96 is: 169.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.07 : 220.18 = 112.96 : x
  2. Step 2: Convert to fraction form
    147.07/220.18 = 112.96/x
  3. Step 3: Cross multiply
    147.07x = 220.18 × 112.96
  4. Step 4: Simplify right side
    147.07x = 24,871.53
  5. Step 5: Solve for x
    x = 24,871.53/147.07
  6. Step 6: Final answer
    x = 169.11

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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.