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Finding the Fourth Proportional to 96.81, 145.88 and 92.17

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Solution

The fourth proportional to 96.81, 145.88 and 92.17 is: 138.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.81 : 145.88 = 92.17 : x
  2. Step 2: Convert to fraction form
    96.81/145.88 = 92.17/x
  3. Step 3: Cross multiply
    96.81x = 145.88 × 92.17
  4. Step 4: Simplify right side
    96.81x = 13,445.83
  5. Step 5: Solve for x
    x = 13,445.83/96.81
  6. Step 6: Final answer
    x = 138.89

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.