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Finding the Fourth Proportional to 112.40, 155.15 and 75.65

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Solution

The fourth proportional to 112.40, 155.15 and 75.65 is: 104.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.40 : 155.15 = 75.65 : x
  2. Step 2: Convert to fraction form
    112.40/155.15 = 75.65/x
  3. Step 3: Cross multiply
    112.40x = 155.15 × 75.65
  4. Step 4: Simplify right side
    112.40x = 11,737.10
  5. Step 5: Solve for x
    x = 11,737.10/112.40
  6. Step 6: Final answer
    x = 104.42

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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.