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Finding the Fourth Proportional to 96.84, 144.56 and 89.16

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Solution

The fourth proportional to 96.84, 144.56 and 89.16 is: 133.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.84 : 144.56 = 89.16 : x
  2. Step 2: Convert to fraction form
    96.84/144.56 = 89.16/x
  3. Step 3: Cross multiply
    96.84x = 144.56 × 89.16
  4. Step 4: Simplify right side
    96.84x = 12,888.52
  5. Step 5: Solve for x
    x = 12,888.52/96.84
  6. Step 6: Final answer
    x = 133.09

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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.