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Finding the Fourth Proportional to 169.68, 254.16 and 123.60

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Solution

The fourth proportional to 169.68, 254.16 and 123.60 is: 185.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.68 : 254.16 = 123.60 : x
  2. Step 2: Convert to fraction form
    169.68/254.16 = 123.60/x
  3. Step 3: Cross multiply
    169.68x = 254.16 × 123.60
  4. Step 4: Simplify right side
    169.68x = 31,414.18
  5. Step 5: Solve for x
    x = 31,414.18/169.68
  6. Step 6: Final answer
    x = 185.14

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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.