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Finding the Fourth Proportional to 96.22, 143.81 and 88.53

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Solution

The fourth proportional to 96.22, 143.81 and 88.53 is: 132.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.22 : 143.81 = 88.53 : x
  2. Step 2: Convert to fraction form
    96.22/143.81 = 88.53/x
  3. Step 3: Cross multiply
    96.22x = 143.81 × 88.53
  4. Step 4: Simplify right side
    96.22x = 12,731.06
  5. Step 5: Solve for x
    x = 12,731.06/96.22
  6. Step 6: Final answer
    x = 132.32

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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.