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Finding the Fourth Proportional to 249.90, 374.82 and 78.90

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Solution

The fourth proportional to 249.90, 374.82 and 78.90 is: 118.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.90 : 374.82 = 78.90 : x
  2. Step 2: Convert to fraction form
    249.90/374.82 = 78.90/x
  3. Step 3: Cross multiply
    249.90x = 374.82 × 78.90
  4. Step 4: Simplify right side
    249.90x = 29,573.30
  5. Step 5: Solve for x
    x = 29,573.30/249.90
  6. Step 6: Final answer
    x = 118.34

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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.