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Finding the Fourth Proportional to 459.91, 634.51 and 273.46

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Solution

The fourth proportional to 459.91, 634.51 and 273.46 is: 377.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.91 : 634.51 = 273.46 : x
  2. Step 2: Convert to fraction form
    459.91/634.51 = 273.46/x
  3. Step 3: Cross multiply
    459.91x = 634.51 × 273.46
  4. Step 4: Simplify right side
    459.91x = 173,513.10
  5. Step 5: Solve for x
    x = 173,513.10/459.91
  6. Step 6: Final answer
    x = 377.28

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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.