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Finding the Fourth Proportional to 340.09, 471.46 and 321.61

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Solution

The fourth proportional to 340.09, 471.46 and 321.61 is: 445.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.09 : 471.46 = 321.61 : x
  2. Step 2: Convert to fraction form
    340.09/471.46 = 321.61/x
  3. Step 3: Cross multiply
    340.09x = 471.46 × 321.61
  4. Step 4: Simplify right side
    340.09x = 151,626.25
  5. Step 5: Solve for x
    x = 151,626.25/340.09
  6. Step 6: Final answer
    x = 445.84

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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.