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Finding the Fourth Proportional to 459.57, 634.21 and 249.75

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Solution

The fourth proportional to 459.57, 634.21 and 249.75 is: 344.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.57 : 634.21 = 249.75 : x
  2. Step 2: Convert to fraction form
    459.57/634.21 = 249.75/x
  3. Step 3: Cross multiply
    459.57x = 634.21 × 249.75
  4. Step 4: Simplify right side
    459.57x = 158,389.53
  5. Step 5: Solve for x
    x = 158,389.53/459.57
  6. Step 6: Final answer
    x = 344.65

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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.