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Finding the Fourth Proportional to 96.42, 143.79 and 94.26

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Solution

The fourth proportional to 96.42, 143.79 and 94.26 is: 140.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.42 : 143.79 = 94.26 : x
  2. Step 2: Convert to fraction form
    96.42/143.79 = 94.26/x
  3. Step 3: Cross multiply
    96.42x = 143.79 × 94.26
  4. Step 4: Simplify right side
    96.42x = 13,553.65
  5. Step 5: Solve for x
    x = 13,553.65/96.42
  6. Step 6: Final answer
    x = 140.57

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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.