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Finding the Fourth Proportional to 149.90, 206.87 and 94.61

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Solution

The fourth proportional to 149.90, 206.87 and 94.61 is: 130.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.90 : 206.87 = 94.61 : x
  2. Step 2: Convert to fraction form
    149.90/206.87 = 94.61/x
  3. Step 3: Cross multiply
    149.90x = 206.87 × 94.61
  4. Step 4: Simplify right side
    149.90x = 19,572.01
  5. Step 5: Solve for x
    x = 19,572.01/149.90
  6. Step 6: Final answer
    x = 130.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.