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Finding the Fourth Proportional to 269.98, 403.10 and 229.42

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Solution

The fourth proportional to 269.98, 403.10 and 229.42 is: 342.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.98 : 403.10 = 229.42 : x
  2. Step 2: Convert to fraction form
    269.98/403.10 = 229.42/x
  3. Step 3: Cross multiply
    269.98x = 403.10 × 229.42
  4. Step 4: Simplify right side
    269.98x = 92,479.20
  5. Step 5: Solve for x
    x = 92,479.20/269.98
  6. Step 6: Final answer
    x = 342.54

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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.