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Finding the Fourth Proportional to 252.14, 377.60 and 174.78

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Solution

The fourth proportional to 252.14, 377.60 and 174.78 is: 261.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.14 : 377.60 = 174.78 : x
  2. Step 2: Convert to fraction form
    252.14/377.60 = 174.78/x
  3. Step 3: Cross multiply
    252.14x = 377.60 × 174.78
  4. Step 4: Simplify right side
    252.14x = 65,996.05
  5. Step 5: Solve for x
    x = 65,996.05/252.14
  6. Step 6: Final answer
    x = 261.75

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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.