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Finding the Fourth Proportional to 101.85, 152.01 and 99.42

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Solution

The fourth proportional to 101.85, 152.01 and 99.42 is: 148.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.85 : 152.01 = 99.42 : x
  2. Step 2: Convert to fraction form
    101.85/152.01 = 99.42/x
  3. Step 3: Cross multiply
    101.85x = 152.01 × 99.42
  4. Step 4: Simplify right side
    101.85x = 15,112.83
  5. Step 5: Solve for x
    x = 15,112.83/101.85
  6. Step 6: Final answer
    x = 148.38

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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.