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Finding the Fourth Proportional to 269.27, 370.29 and 224.99

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Solution

The fourth proportional to 269.27, 370.29 and 224.99 is: 309.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.27 : 370.29 = 224.99 : x
  2. Step 2: Convert to fraction form
    269.27/370.29 = 224.99/x
  3. Step 3: Cross multiply
    269.27x = 370.29 × 224.99
  4. Step 4: Simplify right side
    269.27x = 83,308.57
  5. Step 5: Solve for x
    x = 83,308.57/269.27
  6. Step 6: Final answer
    x = 309.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.