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Finding the Fourth Proportional to 375.12, 517.41 and 344.15

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Solution

The fourth proportional to 375.12, 517.41 and 344.15 is: 474.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.12 : 517.41 = 344.15 : x
  2. Step 2: Convert to fraction form
    375.12/517.41 = 344.15/x
  3. Step 3: Cross multiply
    375.12x = 517.41 × 344.15
  4. Step 4: Simplify right side
    375.12x = 178,064.06
  5. Step 5: Solve for x
    x = 178,064.06/375.12
  6. Step 6: Final answer
    x = 474.69

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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.