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Finding the Fourth Proportional to 154.68, 231.78 and 82.52

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Solution

The fourth proportional to 154.68, 231.78 and 82.52 is: 123.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.68 : 231.78 = 82.52 : x
  2. Step 2: Convert to fraction form
    154.68/231.78 = 82.52/x
  3. Step 3: Cross multiply
    154.68x = 231.78 × 82.52
  4. Step 4: Simplify right side
    154.68x = 19,126.49
  5. Step 5: Solve for x
    x = 19,126.49/154.68
  6. Step 6: Final answer
    x = 123.65

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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.