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Finding the Fourth Proportional to 111.01, 152.38 and 98.46

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Solution

The fourth proportional to 111.01, 152.38 and 98.46 is: 135.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.01 : 152.38 = 98.46 : x
  2. Step 2: Convert to fraction form
    111.01/152.38 = 98.46/x
  3. Step 3: Cross multiply
    111.01x = 152.38 × 98.46
  4. Step 4: Simplify right side
    111.01x = 15,002.57
  5. Step 5: Solve for x
    x = 15,002.57/111.01
  6. Step 6: Final answer
    x = 135.15

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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.