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Finding the Fourth Proportional to 198.76, 298.15 and 96.13

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Solution

The fourth proportional to 198.76, 298.15 and 96.13 is: 144.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.76 : 298.15 = 96.13 : x
  2. Step 2: Convert to fraction form
    198.76/298.15 = 96.13/x
  3. Step 3: Cross multiply
    198.76x = 298.15 × 96.13
  4. Step 4: Simplify right side
    198.76x = 28,661.16
  5. Step 5: Solve for x
    x = 28,661.16/198.76
  6. Step 6: Final answer
    x = 144.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.