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Finding the Fourth Proportional to 441.59, 609.12 and 342.09

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Solution

The fourth proportional to 441.59, 609.12 and 342.09 is: 471.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.59 : 609.12 = 342.09 : x
  2. Step 2: Convert to fraction form
    441.59/609.12 = 342.09/x
  3. Step 3: Cross multiply
    441.59x = 609.12 × 342.09
  4. Step 4: Simplify right side
    441.59x = 208,373.86
  5. Step 5: Solve for x
    x = 208,373.86/441.59
  6. Step 6: Final answer
    x = 471.88

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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.