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Finding the Fourth Proportional to 170.52, 254.62 and 147.12

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Solution

The fourth proportional to 170.52, 254.62 and 147.12 is: 219.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.52 : 254.62 = 147.12 : x
  2. Step 2: Convert to fraction form
    170.52/254.62 = 147.12/x
  3. Step 3: Cross multiply
    170.52x = 254.62 × 147.12
  4. Step 4: Simplify right side
    170.52x = 37,459.69
  5. Step 5: Solve for x
    x = 37,459.69/170.52
  6. Step 6: Final answer
    x = 219.68

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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.