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Finding the Fourth Proportional to 344.74, 517.10 and 245.49

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Solution

The fourth proportional to 344.74, 517.10 and 245.49 is: 368.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.74 : 517.10 = 245.49 : x
  2. Step 2: Convert to fraction form
    344.74/517.10 = 245.49/x
  3. Step 3: Cross multiply
    344.74x = 517.10 × 245.49
  4. Step 4: Simplify right side
    344.74x = 126,940.29
  5. Step 5: Solve for x
    x = 126,940.29/344.74
  6. Step 6: Final answer
    x = 368.23

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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.