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Finding the Fourth Proportional to 154.12, 231.24 and 72.92

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Solution

The fourth proportional to 154.12, 231.24 and 72.92 is: 109.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.12 : 231.24 = 72.92 : x
  2. Step 2: Convert to fraction form
    154.12/231.24 = 72.92/x
  3. Step 3: Cross multiply
    154.12x = 231.24 × 72.92
  4. Step 4: Simplify right side
    154.12x = 16,862.02
  5. Step 5: Solve for x
    x = 16,862.02/154.12
  6. Step 6: Final answer
    x = 109.41

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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.