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Finding the Fourth Proportional to 379.16, 523.22 and 229.82

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Solution

The fourth proportional to 379.16, 523.22 and 229.82 is: 317.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.16 : 523.22 = 229.82 : x
  2. Step 2: Convert to fraction form
    379.16/523.22 = 229.82/x
  3. Step 3: Cross multiply
    379.16x = 523.22 × 229.82
  4. Step 4: Simplify right side
    379.16x = 120,246.42
  5. Step 5: Solve for x
    x = 120,246.42/379.16
  6. Step 6: Final answer
    x = 317.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.