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Finding the Fourth Proportional to 279.31, 385.61 and 186.18

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Solution

The fourth proportional to 279.31, 385.61 and 186.18 is: 257.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.31 : 385.61 = 186.18 : x
  2. Step 2: Convert to fraction form
    279.31/385.61 = 186.18/x
  3. Step 3: Cross multiply
    279.31x = 385.61 × 186.18
  4. Step 4: Simplify right side
    279.31x = 71,792.87
  5. Step 5: Solve for x
    x = 71,792.87/279.31
  6. Step 6: Final answer
    x = 257.04

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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.