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Finding the Fourth Proportional to 279.73, 385.75 and 224.31

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Solution

The fourth proportional to 279.73, 385.75 and 224.31 is: 309.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.73 : 385.75 = 224.31 : x
  2. Step 2: Convert to fraction form
    279.73/385.75 = 224.31/x
  3. Step 3: Cross multiply
    279.73x = 385.75 × 224.31
  4. Step 4: Simplify right side
    279.73x = 86,527.58
  5. Step 5: Solve for x
    x = 86,527.58/279.73
  6. Step 6: Final answer
    x = 309.33

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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.