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Finding the Fourth Proportional to 379.42, 523.61 and 224.17

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Solution

The fourth proportional to 379.42, 523.61 and 224.17 is: 309.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.42 : 523.61 = 224.17 : x
  2. Step 2: Convert to fraction form
    379.42/523.61 = 224.17/x
  3. Step 3: Cross multiply
    379.42x = 523.61 × 224.17
  4. Step 4: Simplify right side
    379.42x = 117,376.53
  5. Step 5: Solve for x
    x = 117,376.53/379.42
  6. Step 6: Final answer
    x = 309.36

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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.