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Finding the Fourth Proportional to 252.90, 377.42 and 225.57

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Solution

The fourth proportional to 252.90, 377.42 and 225.57 is: 336.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.90 : 377.42 = 225.57 : x
  2. Step 2: Convert to fraction form
    252.90/377.42 = 225.57/x
  3. Step 3: Cross multiply
    252.90x = 377.42 × 225.57
  4. Step 4: Simplify right side
    252.90x = 85,134.63
  5. Step 5: Solve for x
    x = 85,134.63/252.90
  6. Step 6: Final answer
    x = 336.63

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.