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Finding the Fourth Proportional to 154.38, 213.15 and 112.86

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Solution

The fourth proportional to 154.38, 213.15 and 112.86 is: 155.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.38 : 213.15 = 112.86 : x
  2. Step 2: Convert to fraction form
    154.38/213.15 = 112.86/x
  3. Step 3: Cross multiply
    154.38x = 213.15 × 112.86
  4. Step 4: Simplify right side
    154.38x = 24,056.11
  5. Step 5: Solve for x
    x = 24,056.11/154.38
  6. Step 6: Final answer
    x = 155.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.