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Finding the Fourth Proportional to 96.36, 143.84 and 88.80

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Solution

The fourth proportional to 96.36, 143.84 and 88.80 is: 132.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.36 : 143.84 = 88.80 : x
  2. Step 2: Convert to fraction form
    96.36/143.84 = 88.80/x
  3. Step 3: Cross multiply
    96.36x = 143.84 × 88.80
  4. Step 4: Simplify right side
    96.36x = 12,772.99
  5. Step 5: Solve for x
    x = 12,772.99/96.36
  6. Step 6: Final answer
    x = 132.55

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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.