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Finding the Fourth Proportional to 374.72, 517.24 and 243.88

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Solution

The fourth proportional to 374.72, 517.24 and 243.88 is: 336.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.72 : 517.24 = 243.88 : x
  2. Step 2: Convert to fraction form
    374.72/517.24 = 243.88/x
  3. Step 3: Cross multiply
    374.72x = 517.24 × 243.88
  4. Step 4: Simplify right side
    374.72x = 126,144.49
  5. Step 5: Solve for x
    x = 126,144.49/374.72
  6. Step 6: Final answer
    x = 336.64

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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.