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Finding the Fourth Proportional to 379.50, 568.17 and 324.42

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Solution

The fourth proportional to 379.50, 568.17 and 324.42 is: 485.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.50 : 568.17 = 324.42 : x
  2. Step 2: Convert to fraction form
    379.50/568.17 = 324.42/x
  3. Step 3: Cross multiply
    379.50x = 568.17 × 324.42
  4. Step 4: Simplify right side
    379.50x = 184,325.71
  5. Step 5: Solve for x
    x = 184,325.71/379.50
  6. Step 6: Final answer
    x = 485.71

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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.