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Finding the Fourth Proportional to 101.32, 151.19 and 98.44

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Solution

The fourth proportional to 101.32, 151.19 and 98.44 is: 146.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.32 : 151.19 = 98.44 : x
  2. Step 2: Convert to fraction form
    101.32/151.19 = 98.44/x
  3. Step 3: Cross multiply
    101.32x = 151.19 × 98.44
  4. Step 4: Simplify right side
    101.32x = 14,883.14
  5. Step 5: Solve for x
    x = 14,883.14/101.32
  6. Step 6: Final answer
    x = 146.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.