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Finding the Fourth Proportional to 170.27, 254.72 and 147.70

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Solution

The fourth proportional to 170.27, 254.72 and 147.70 is: 220.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.27 : 254.72 = 147.70 : x
  2. Step 2: Convert to fraction form
    170.27/254.72 = 147.70/x
  3. Step 3: Cross multiply
    170.27x = 254.72 × 147.70
  4. Step 4: Simplify right side
    170.27x = 37,621.88
  5. Step 5: Solve for x
    x = 37,621.88/170.27
  6. Step 6: Final answer
    x = 220.96

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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.