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Finding the Fourth Proportional to 269.98, 405.05 and 77.61

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Solution

The fourth proportional to 269.98, 405.05 and 77.61 is: 116.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.98 : 405.05 = 77.61 : x
  2. Step 2: Convert to fraction form
    269.98/405.05 = 77.61/x
  3. Step 3: Cross multiply
    269.98x = 405.05 × 77.61
  4. Step 4: Simplify right side
    269.98x = 31,435.93
  5. Step 5: Solve for x
    x = 31,435.93/269.98
  6. Step 6: Final answer
    x = 116.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.