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Finding the Fourth Proportional to 169.57, 254.20 and 111.70

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Solution

The fourth proportional to 169.57, 254.20 and 111.70 is: 167.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.57 : 254.20 = 111.70 : x
  2. Step 2: Convert to fraction form
    169.57/254.20 = 111.70/x
  3. Step 3: Cross multiply
    169.57x = 254.20 × 111.70
  4. Step 4: Simplify right side
    169.57x = 28,394.14
  5. Step 5: Solve for x
    x = 28,394.14/169.57
  6. Step 6: Final answer
    x = 167.45

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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.