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Finding the Fourth Proportional to 279.70, 385.87 and 161.62

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Solution

The fourth proportional to 279.70, 385.87 and 161.62 is: 222.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.70 : 385.87 = 161.62 : x
  2. Step 2: Convert to fraction form
    279.70/385.87 = 161.62/x
  3. Step 3: Cross multiply
    279.70x = 385.87 × 161.62
  4. Step 4: Simplify right side
    279.70x = 62,364.31
  5. Step 5: Solve for x
    x = 62,364.31/279.70
  6. Step 6: Final answer
    x = 222.97

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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.