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Finding the Fourth Proportional to 360.05, 496.67 and 249.89

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Solution

The fourth proportional to 360.05, 496.67 and 249.89 is: 344.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.05 : 496.67 = 249.89 : x
  2. Step 2: Convert to fraction form
    360.05/496.67 = 249.89/x
  3. Step 3: Cross multiply
    360.05x = 496.67 × 249.89
  4. Step 4: Simplify right side
    360.05x = 124,109.13
  5. Step 5: Solve for x
    x = 124,109.13/360.05
  6. Step 6: Final answer
    x = 344.70

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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.