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Finding the Fourth Proportional to 320.80, 439.82 and 314.96

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Solution

The fourth proportional to 320.80, 439.82 and 314.96 is: 431.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.80 : 439.82 = 314.96 : x
  2. Step 2: Convert to fraction form
    320.80/439.82 = 314.96/x
  3. Step 3: Cross multiply
    320.80x = 439.82 × 314.96
  4. Step 4: Simplify right side
    320.80x = 138,525.00
  5. Step 5: Solve for x
    x = 138,525.00/320.80
  6. Step 6: Final answer
    x = 431.81

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.