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Finding the Fourth Proportional to 279.42, 418.50 and 224.73

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Solution

The fourth proportional to 279.42, 418.50 and 224.73 is: 336.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.42 : 418.50 = 224.73 : x
  2. Step 2: Convert to fraction form
    279.42/418.50 = 224.73/x
  3. Step 3: Cross multiply
    279.42x = 418.50 × 224.73
  4. Step 4: Simplify right side
    279.42x = 94,049.51
  5. Step 5: Solve for x
    x = 94,049.51/279.42
  6. Step 6: Final answer
    x = 336.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.