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Finding the Fourth Proportional to 101.82, 151.74 and 99.42

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Solution

The fourth proportional to 101.82, 151.74 and 99.42 is: 148.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.82 : 151.74 = 99.42 : x
  2. Step 2: Convert to fraction form
    101.82/151.74 = 99.42/x
  3. Step 3: Cross multiply
    101.82x = 151.74 × 99.42
  4. Step 4: Simplify right side
    101.82x = 15,085.99
  5. Step 5: Solve for x
    x = 15,085.99/101.82
  6. Step 6: Final answer
    x = 148.16

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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.