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Finding the Fourth Proportional to 459.78, 633.92 and 293.72

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Solution

The fourth proportional to 459.78, 633.92 and 293.72 is: 404.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.78 : 633.92 = 293.72 : x
  2. Step 2: Convert to fraction form
    459.78/633.92 = 293.72/x
  3. Step 3: Cross multiply
    459.78x = 633.92 × 293.72
  4. Step 4: Simplify right side
    459.78x = 186,194.98
  5. Step 5: Solve for x
    x = 186,194.98/459.78
  6. Step 6: Final answer
    x = 404.97

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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.