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Finding the Fourth Proportional to 269.33, 368.98 and 259.61

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Solution

The fourth proportional to 269.33, 368.98 and 259.61 is: 355.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.33 : 368.98 = 259.61 : x
  2. Step 2: Convert to fraction form
    269.33/368.98 = 259.61/x
  3. Step 3: Cross multiply
    269.33x = 368.98 × 259.61
  4. Step 4: Simplify right side
    269.33x = 95,790.90
  5. Step 5: Solve for x
    x = 95,790.90/269.33
  6. Step 6: Final answer
    x = 355.66

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.