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Finding the Fourth Proportional to 332.86, 461.69 and 319.90

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Solution

The fourth proportional to 332.86, 461.69 and 319.90 is: 443.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.86 : 461.69 = 319.90 : x
  2. Step 2: Convert to fraction form
    332.86/461.69 = 319.90/x
  3. Step 3: Cross multiply
    332.86x = 461.69 × 319.90
  4. Step 4: Simplify right side
    332.86x = 147,694.63
  5. Step 5: Solve for x
    x = 147,694.63/332.86
  6. Step 6: Final answer
    x = 443.71

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.