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Finding the Fourth Proportional to 269.61, 403.78 and 171.76

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Solution

The fourth proportional to 269.61, 403.78 and 171.76 is: 257.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.61 : 403.78 = 171.76 : x
  2. Step 2: Convert to fraction form
    269.61/403.78 = 171.76/x
  3. Step 3: Cross multiply
    269.61x = 403.78 × 171.76
  4. Step 4: Simplify right side
    269.61x = 69,353.25
  5. Step 5: Solve for x
    x = 69,353.25/269.61
  6. Step 6: Final answer
    x = 257.24

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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.