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Finding the Fourth Proportional to 169.87, 254.74 and 72.42

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Solution

The fourth proportional to 169.87, 254.74 and 72.42 is: 108.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.87 : 254.74 = 72.42 : x
  2. Step 2: Convert to fraction form
    169.87/254.74 = 72.42/x
  3. Step 3: Cross multiply
    169.87x = 254.74 × 72.42
  4. Step 4: Simplify right side
    169.87x = 18,447.81
  5. Step 5: Solve for x
    x = 18,447.81/169.87
  6. Step 6: Final answer
    x = 108.60

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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.