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Finding the Fourth Proportional to 100.85, 152.01 and 98.42

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Solution

The fourth proportional to 100.85, 152.01 and 98.42 is: 148.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.85 : 152.01 = 98.42 : x
  2. Step 2: Convert to fraction form
    100.85/152.01 = 98.42/x
  3. Step 3: Cross multiply
    100.85x = 152.01 × 98.42
  4. Step 4: Simplify right side
    100.85x = 14,960.06
  5. Step 5: Solve for x
    x = 14,960.06/100.85
  6. Step 6: Final answer
    x = 148.35

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.