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Finding the Fourth Proportional to 441.68, 609.72 and 331.52

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Solution

The fourth proportional to 441.68, 609.72 and 331.52 is: 457.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.68 : 609.72 = 331.52 : x
  2. Step 2: Convert to fraction form
    441.68/609.72 = 331.52/x
  3. Step 3: Cross multiply
    441.68x = 609.72 × 331.52
  4. Step 4: Simplify right side
    441.68x = 202,134.37
  5. Step 5: Solve for x
    x = 202,134.37/441.68
  6. Step 6: Final answer
    x = 457.65

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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.