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Finding the Fourth Proportional to 279.74, 385.62 and 261.38

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Solution

The fourth proportional to 279.74, 385.62 and 261.38 is: 360.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.74 : 385.62 = 261.38 : x
  2. Step 2: Convert to fraction form
    279.74/385.62 = 261.38/x
  3. Step 3: Cross multiply
    279.74x = 385.62 × 261.38
  4. Step 4: Simplify right side
    279.74x = 100,793.36
  5. Step 5: Solve for x
    x = 100,793.36/279.74
  6. Step 6: Final answer
    x = 360.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.