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Finding the Fourth Proportional to 279.30, 385.68 and 248.22

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Solution

The fourth proportional to 279.30, 385.68 and 248.22 is: 342.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.30 : 385.68 = 248.22 : x
  2. Step 2: Convert to fraction form
    279.30/385.68 = 248.22/x
  3. Step 3: Cross multiply
    279.30x = 385.68 × 248.22
  4. Step 4: Simplify right side
    279.30x = 95,733.49
  5. Step 5: Solve for x
    x = 95,733.49/279.30
  6. Step 6: Final answer
    x = 342.76

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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.