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Finding the Fourth Proportional to 269.33, 402.98 and 163.40

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Solution

The fourth proportional to 269.33, 402.98 and 163.40 is: 244.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.33 : 402.98 = 163.40 : x
  2. Step 2: Convert to fraction form
    269.33/402.98 = 163.40/x
  3. Step 3: Cross multiply
    269.33x = 402.98 × 163.40
  4. Step 4: Simplify right side
    269.33x = 65,844.10
  5. Step 5: Solve for x
    x = 65,844.10/269.33
  6. Step 6: Final answer
    x = 244.48

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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.