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Finding the Fourth Proportional to 256.91, 353.72 and 224.15

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Solution

The fourth proportional to 256.91, 353.72 and 224.15 is: 308.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.91 : 353.72 = 224.15 : x
  2. Step 2: Convert to fraction form
    256.91/353.72 = 224.15/x
  3. Step 3: Cross multiply
    256.91x = 353.72 × 224.15
  4. Step 4: Simplify right side
    256.91x = 79,285.22
  5. Step 5: Solve for x
    x = 79,285.22/256.91
  6. Step 6: Final answer
    x = 308.61

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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.