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Finding the Fourth Proportional to 113.60, 155.40 and 113.15

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Solution

The fourth proportional to 113.60, 155.40 and 113.15 is: 154.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.60 : 155.40 = 113.15 : x
  2. Step 2: Convert to fraction form
    113.60/155.40 = 113.15/x
  3. Step 3: Cross multiply
    113.60x = 155.40 × 113.15
  4. Step 4: Simplify right side
    113.60x = 17,582.73
  5. Step 5: Solve for x
    x = 17,582.73/113.60
  6. Step 6: Final answer
    x = 154.78

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.