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Finding the Fourth Proportional to 279.73, 385.77 and 224.45

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Solution

The fourth proportional to 279.73, 385.77 and 224.45 is: 309.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.73 : 385.77 = 224.45 : x
  2. Step 2: Convert to fraction form
    279.73/385.77 = 224.45/x
  3. Step 3: Cross multiply
    279.73x = 385.77 × 224.45
  4. Step 4: Simplify right side
    279.73x = 86,586.08
  5. Step 5: Solve for x
    x = 86,586.08/279.73
  6. Step 6: Final answer
    x = 309.53

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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.