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Finding the Fourth Proportional to 375.10, 517.55 and 227.74

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Solution

The fourth proportional to 375.10, 517.55 and 227.74 is: 314.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.10 : 517.55 = 227.74 : x
  2. Step 2: Convert to fraction form
    375.10/517.55 = 227.74/x
  3. Step 3: Cross multiply
    375.10x = 517.55 × 227.74
  4. Step 4: Simplify right side
    375.10x = 117,866.84
  5. Step 5: Solve for x
    x = 117,866.84/375.10
  6. Step 6: Final answer
    x = 314.23

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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.