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Finding the Fourth Proportional to 112.38, 154.87 and 105.55

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Solution

The fourth proportional to 112.38, 154.87 and 105.55 is: 145.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.38 : 154.87 = 105.55 : x
  2. Step 2: Convert to fraction form
    112.38/154.87 = 105.55/x
  3. Step 3: Cross multiply
    112.38x = 154.87 × 105.55
  4. Step 4: Simplify right side
    112.38x = 16,345.23
  5. Step 5: Solve for x
    x = 16,345.23/112.38
  6. Step 6: Final answer
    x = 145.45

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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.