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Finding the Fourth Proportional to 113.40, 155.49 and 110.97

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Solution

The fourth proportional to 113.40, 155.49 and 110.97 is: 152.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.40 : 155.49 = 110.97 : x
  2. Step 2: Convert to fraction form
    113.40/155.49 = 110.97/x
  3. Step 3: Cross multiply
    113.40x = 155.49 × 110.97
  4. Step 4: Simplify right side
    113.40x = 17,254.73
  5. Step 5: Solve for x
    x = 17,254.73/113.40
  6. Step 6: Final answer
    x = 152.16

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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.