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Finding the Fourth Proportional to 170.27, 254.50 and 148.14

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Solution

The fourth proportional to 170.27, 254.50 and 148.14 is: 221.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.27 : 254.50 = 148.14 : x
  2. Step 2: Convert to fraction form
    170.27/254.50 = 148.14/x
  3. Step 3: Cross multiply
    170.27x = 254.50 × 148.14
  4. Step 4: Simplify right side
    170.27x = 37,700.96
  5. Step 5: Solve for x
    x = 37,700.96/170.27
  6. Step 6: Final answer
    x = 221.42

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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.