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Finding the Fourth Proportional to 269.74, 403.80 and 229.24

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Solution

The fourth proportional to 269.74, 403.80 and 229.24 is: 343.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.74 : 403.80 = 229.24 : x
  2. Step 2: Convert to fraction form
    269.74/403.80 = 229.24/x
  3. Step 3: Cross multiply
    269.74x = 403.80 × 229.24
  4. Step 4: Simplify right side
    269.74x = 92,567.11
  5. Step 5: Solve for x
    x = 92,567.11/269.74
  6. Step 6: Final answer
    x = 343.17

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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.