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Finding the Fourth Proportional to 269.64, 405 and 224.28

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Solution

The fourth proportional to 269.64, 405 and 224.28 is: 336.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.64 : 405 = 224.28 : x
  2. Step 2: Convert to fraction form
    269.64/405 = 224.28/x
  3. Step 3: Cross multiply
    269.64x = 405 × 224.28
  4. Step 4: Simplify right side
    269.64x = 90,833.40
  5. Step 5: Solve for x
    x = 90,833.40/269.64
  6. Step 6: Final answer
    x = 336.87

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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.