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Finding the Fourth Proportional to 154.15, 212.82 and 112.66

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Solution

The fourth proportional to 154.15, 212.82 and 112.66 is: 155.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.15 : 212.82 = 112.66 : x
  2. Step 2: Convert to fraction form
    154.15/212.82 = 112.66/x
  3. Step 3: Cross multiply
    154.15x = 212.82 × 112.66
  4. Step 4: Simplify right side
    154.15x = 23,976.30
  5. Step 5: Solve for x
    x = 23,976.30/154.15
  6. Step 6: Final answer
    x = 155.54

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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.