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Finding the Fourth Proportional to 96.16, 143.42 and 89.78

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Solution

The fourth proportional to 96.16, 143.42 and 89.78 is: 133.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.16 : 143.42 = 89.78 : x
  2. Step 2: Convert to fraction form
    96.16/143.42 = 89.78/x
  3. Step 3: Cross multiply
    96.16x = 143.42 × 89.78
  4. Step 4: Simplify right side
    96.16x = 12,876.16
  5. Step 5: Solve for x
    x = 12,876.16/96.16
  6. Step 6: Final answer
    x = 133.91

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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.