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Finding the Fourth Proportional to 252, 377.96 and 78.62

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Solution

The fourth proportional to 252, 377.96 and 78.62 is: 117.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    252 : 377.96 = 78.62 : x
  2. Step 2: Convert to fraction form
    252/377.96 = 78.62/x
  3. Step 3: Cross multiply
    252x = 377.96 × 78.62
  4. Step 4: Simplify right side
    252x = 29,712.93
  5. Step 5: Solve for x
    x = 29,712.93/252
  6. Step 6: Final answer
    x = 117.91

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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.