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Finding the Fourth Proportional to 344.72, 517.21 and 207.87

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Solution

The fourth proportional to 344.72, 517.21 and 207.87 is: 311.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.72 : 517.21 = 207.87 : x
  2. Step 2: Convert to fraction form
    344.72/517.21 = 207.87/x
  3. Step 3: Cross multiply
    344.72x = 517.21 × 207.87
  4. Step 4: Simplify right side
    344.72x = 107,510.57
  5. Step 5: Solve for x
    x = 107,510.57/344.72
  6. Step 6: Final answer
    x = 311.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.