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Finding the Fourth Proportional to 195.49, 269.90 and 148.78

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Solution

The fourth proportional to 195.49, 269.90 and 148.78 is: 205.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.49 : 269.90 = 148.78 : x
  2. Step 2: Convert to fraction form
    195.49/269.90 = 148.78/x
  3. Step 3: Cross multiply
    195.49x = 269.90 × 148.78
  4. Step 4: Simplify right side
    195.49x = 40,155.72
  5. Step 5: Solve for x
    x = 40,155.72/195.49
  6. Step 6: Final answer
    x = 205.41

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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.