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Finding the Fourth Proportional to 261.79, 359.37 and 224.88

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Solution

The fourth proportional to 261.79, 359.37 and 224.88 is: 308.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.79 : 359.37 = 224.88 : x
  2. Step 2: Convert to fraction form
    261.79/359.37 = 224.88/x
  3. Step 3: Cross multiply
    261.79x = 359.37 × 224.88
  4. Step 4: Simplify right side
    261.79x = 80,815.13
  5. Step 5: Solve for x
    x = 80,815.13/261.79
  6. Step 6: Final answer
    x = 308.71

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.