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Finding the Fourth Proportional to 96.14, 143.22 and 91.55

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Solution

The fourth proportional to 96.14, 143.22 and 91.55 is: 136.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.14 : 143.22 = 91.55 : x
  2. Step 2: Convert to fraction form
    96.14/143.22 = 91.55/x
  3. Step 3: Cross multiply
    96.14x = 143.22 × 91.55
  4. Step 4: Simplify right side
    96.14x = 13,111.07
  5. Step 5: Solve for x
    x = 13,111.07/96.14
  6. Step 6: Final answer
    x = 136.38

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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.