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Finding the Fourth Proportional to 269.38, 403.98 and 104.88

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Solution

The fourth proportional to 269.38, 403.98 and 104.88 is: 157.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.38 : 403.98 = 104.88 : x
  2. Step 2: Convert to fraction form
    269.38/403.98 = 104.88/x
  3. Step 3: Cross multiply
    269.38x = 403.98 × 104.88
  4. Step 4: Simplify right side
    269.38x = 42,368.57
  5. Step 5: Solve for x
    x = 42,368.57/269.38
  6. Step 6: Final answer
    x = 157.28

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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.