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Finding the Fourth Proportional to 143.57, 198.18 and 96.90

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Solution

The fourth proportional to 143.57, 198.18 and 96.90 is: 133.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.57 : 198.18 = 96.90 : x
  2. Step 2: Convert to fraction form
    143.57/198.18 = 96.90/x
  3. Step 3: Cross multiply
    143.57x = 198.18 × 96.90
  4. Step 4: Simplify right side
    143.57x = 19,203.64
  5. Step 5: Solve for x
    x = 19,203.64/143.57
  6. Step 6: Final answer
    x = 133.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.