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Finding the Fourth Proportional to 341.80, 468.15 and 321.85

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Solution

The fourth proportional to 341.80, 468.15 and 321.85 is: 440.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.80 : 468.15 = 321.85 : x
  2. Step 2: Convert to fraction form
    341.80/468.15 = 321.85/x
  3. Step 3: Cross multiply
    341.80x = 468.15 × 321.85
  4. Step 4: Simplify right side
    341.80x = 150,674.08
  5. Step 5: Solve for x
    x = 150,674.08/341.80
  6. Step 6: Final answer
    x = 440.83

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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.