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Finding the Fourth Proportional to 318.57, 439.79 and 224.59

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Solution

The fourth proportional to 318.57, 439.79 and 224.59 is: 310.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.57 : 439.79 = 224.59 : x
  2. Step 2: Convert to fraction form
    318.57/439.79 = 224.59/x
  3. Step 3: Cross multiply
    318.57x = 439.79 × 224.59
  4. Step 4: Simplify right side
    318.57x = 98,774.94
  5. Step 5: Solve for x
    x = 98,774.94/318.57
  6. Step 6: Final answer
    x = 310.06

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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.