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Finding the Fourth Proportional to 111.49, 154.20 and 98.55

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Solution

The fourth proportional to 111.49, 154.20 and 98.55 is: 136.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.49 : 154.20 = 98.55 : x
  2. Step 2: Convert to fraction form
    111.49/154.20 = 98.55/x
  3. Step 3: Cross multiply
    111.49x = 154.20 × 98.55
  4. Step 4: Simplify right side
    111.49x = 15,196.78
  5. Step 5: Solve for x
    x = 15,196.78/111.49
  6. Step 6: Final answer
    x = 136.31

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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.