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Finding the Fourth Proportional to 155.14, 232.33 and 94.09

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Solution

The fourth proportional to 155.14, 232.33 and 94.09 is: 140.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.14 : 232.33 = 94.09 : x
  2. Step 2: Convert to fraction form
    155.14/232.33 = 94.09/x
  3. Step 3: Cross multiply
    155.14x = 232.33 × 94.09
  4. Step 4: Simplify right side
    155.14x = 21,859.93
  5. Step 5: Solve for x
    x = 21,859.93/155.14
  6. Step 6: Final answer
    x = 140.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.