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Finding the Fourth Proportional to 100.41, 149.78 and 94.47

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Solution

The fourth proportional to 100.41, 149.78 and 94.47 is: 140.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.41 : 149.78 = 94.47 : x
  2. Step 2: Convert to fraction form
    100.41/149.78 = 94.47/x
  3. Step 3: Cross multiply
    100.41x = 149.78 × 94.47
  4. Step 4: Simplify right side
    100.41x = 14,149.24
  5. Step 5: Solve for x
    x = 14,149.24/100.41
  6. Step 6: Final answer
    x = 140.91

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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.