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Finding the Fourth Proportional to 319.52, 441.51 and 249.76

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Solution

The fourth proportional to 319.52, 441.51 and 249.76 is: 345.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.52 : 441.51 = 249.76 : x
  2. Step 2: Convert to fraction form
    319.52/441.51 = 249.76/x
  3. Step 3: Cross multiply
    319.52x = 441.51 × 249.76
  4. Step 4: Simplify right side
    319.52x = 110,269.33
  5. Step 5: Solve for x
    x = 110,269.33/319.52
  6. Step 6: Final answer
    x = 345.11

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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.