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Finding the Fourth Proportional to 269.12, 401.44 and 239.04

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Solution

The fourth proportional to 269.12, 401.44 and 239.04 is: 356.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.12 : 401.44 = 239.04 : x
  2. Step 2: Convert to fraction form
    269.12/401.44 = 239.04/x
  3. Step 3: Cross multiply
    269.12x = 401.44 × 239.04
  4. Step 4: Simplify right side
    269.12x = 95,960.22
  5. Step 5: Solve for x
    x = 95,960.22/269.12
  6. Step 6: Final answer
    x = 356.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.