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Finding the Fourth Proportional to 459.43, 634.09 and 293.71

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Solution

The fourth proportional to 459.43, 634.09 and 293.71 is: 405.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.43 : 634.09 = 293.71 : x
  2. Step 2: Convert to fraction form
    459.43/634.09 = 293.71/x
  3. Step 3: Cross multiply
    459.43x = 634.09 × 293.71
  4. Step 4: Simplify right side
    459.43x = 186,238.57
  5. Step 5: Solve for x
    x = 186,238.57/459.43
  6. Step 6: Final answer
    x = 405.37

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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.