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Finding the Fourth Proportional to 154.12, 213.61 and 151.24

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Solution

The fourth proportional to 154.12, 213.61 and 151.24 is: 209.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.12 : 213.61 = 151.24 : x
  2. Step 2: Convert to fraction form
    154.12/213.61 = 151.24/x
  3. Step 3: Cross multiply
    154.12x = 213.61 × 151.24
  4. Step 4: Simplify right side
    154.12x = 32,305.62
  5. Step 5: Solve for x
    x = 32,305.62/154.12
  6. Step 6: Final answer
    x = 209.61

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.