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Finding the Fourth Proportional to 149.86, 206.82 and 97.44

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Solution

The fourth proportional to 149.86, 206.82 and 97.44 is: 134.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.86 : 206.82 = 97.44 : x
  2. Step 2: Convert to fraction form
    149.86/206.82 = 97.44/x
  3. Step 3: Cross multiply
    149.86x = 206.82 × 97.44
  4. Step 4: Simplify right side
    149.86x = 20,152.54
  5. Step 5: Solve for x
    x = 20,152.54/149.86
  6. Step 6: Final answer
    x = 134.48

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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.