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Finding the Fourth Proportional to 459.68, 634.96 and 341.92

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Solution

The fourth proportional to 459.68, 634.96 and 341.92 is: 472.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.68 : 634.96 = 341.92 : x
  2. Step 2: Convert to fraction form
    459.68/634.96 = 341.92/x
  3. Step 3: Cross multiply
    459.68x = 634.96 × 341.92
  4. Step 4: Simplify right side
    459.68x = 217,105.52
  5. Step 5: Solve for x
    x = 217,105.52/459.68
  6. Step 6: Final answer
    x = 472.30

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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.