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Finding the Fourth Proportional to 459.28, 633.81 and 249.46

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Solution

The fourth proportional to 459.28, 633.81 and 249.46 is: 344.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.28 : 633.81 = 249.46 : x
  2. Step 2: Convert to fraction form
    459.28/633.81 = 249.46/x
  3. Step 3: Cross multiply
    459.28x = 633.81 × 249.46
  4. Step 4: Simplify right side
    459.28x = 158,110.24
  5. Step 5: Solve for x
    x = 158,110.24/459.28
  6. Step 6: Final answer
    x = 344.26

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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.