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Finding the Fourth Proportional to 269.58, 404.54 and 123.31

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Solution

The fourth proportional to 269.58, 404.54 and 123.31 is: 185.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.58 : 404.54 = 123.31 : x
  2. Step 2: Convert to fraction form
    269.58/404.54 = 123.31/x
  3. Step 3: Cross multiply
    269.58x = 404.54 × 123.31
  4. Step 4: Simplify right side
    269.58x = 49,883.83
  5. Step 5: Solve for x
    x = 49,883.83/269.58
  6. Step 6: Final answer
    x = 185.04

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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.