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Finding the Fourth Proportional to 439.05, 657.96 and 294.47

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Solution

The fourth proportional to 439.05, 657.96 and 294.47 is: 441.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.05 : 657.96 = 294.47 : x
  2. Step 2: Convert to fraction form
    439.05/657.96 = 294.47/x
  3. Step 3: Cross multiply
    439.05x = 657.96 × 294.47
  4. Step 4: Simplify right side
    439.05x = 193,747.55
  5. Step 5: Solve for x
    x = 193,747.55/439.05
  6. Step 6: Final answer
    x = 441.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.