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Finding the Fourth Proportional to 379.52, 565.78 and 362.24

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Solution

The fourth proportional to 379.52, 565.78 and 362.24 is: 540.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.52 : 565.78 = 362.24 : x
  2. Step 2: Convert to fraction form
    379.52/565.78 = 362.24/x
  3. Step 3: Cross multiply
    379.52x = 565.78 × 362.24
  4. Step 4: Simplify right side
    379.52x = 204,948.15
  5. Step 5: Solve for x
    x = 204,948.15/379.52
  6. Step 6: Final answer
    x = 540.02

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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.