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Finding the Fourth Proportional to 269.62, 372.06 and 149.98

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Solution

The fourth proportional to 269.62, 372.06 and 149.98 is: 206.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.62 : 372.06 = 149.98 : x
  2. Step 2: Convert to fraction form
    269.62/372.06 = 149.98/x
  3. Step 3: Cross multiply
    269.62x = 372.06 × 149.98
  4. Step 4: Simplify right side
    269.62x = 55,801.56
  5. Step 5: Solve for x
    x = 55,801.56/269.62
  6. Step 6: Final answer
    x = 206.96

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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.