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Finding the Fourth Proportional to 379.47, 568.23 and 269.19

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Solution

The fourth proportional to 379.47, 568.23 and 269.19 is: 403.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.47 : 568.23 = 269.19 : x
  2. Step 2: Convert to fraction form
    379.47/568.23 = 269.19/x
  3. Step 3: Cross multiply
    379.47x = 568.23 × 269.19
  4. Step 4: Simplify right side
    379.47x = 152,961.83
  5. Step 5: Solve for x
    x = 152,961.83/379.47
  6. Step 6: Final answer
    x = 403.09

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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.