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Finding the Fourth Proportional to 252.78, 377.47 and 251.56

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Solution

The fourth proportional to 252.78, 377.47 and 251.56 is: 375.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.78 : 377.47 = 251.56 : x
  2. Step 2: Convert to fraction form
    252.78/377.47 = 251.56/x
  3. Step 3: Cross multiply
    252.78x = 377.47 × 251.56
  4. Step 4: Simplify right side
    252.78x = 94,956.35
  5. Step 5: Solve for x
    x = 94,956.35/252.78
  6. Step 6: Final answer
    x = 375.65

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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.