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Finding the Fourth Proportional to 252.42, 346.11 and 227.76

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Solution

The fourth proportional to 252.42, 346.11 and 227.76 is: 312.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.42 : 346.11 = 227.76 : x
  2. Step 2: Convert to fraction form
    252.42/346.11 = 227.76/x
  3. Step 3: Cross multiply
    252.42x = 346.11 × 227.76
  4. Step 4: Simplify right side
    252.42x = 78,830.01
  5. Step 5: Solve for x
    x = 78,830.01/252.42
  6. Step 6: Final answer
    x = 312.30

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.