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Finding the Fourth Proportional to 339.24, 467.46 and 326.46

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Solution

The fourth proportional to 339.24, 467.46 and 326.46 is: 449.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.24 : 467.46 = 326.46 : x
  2. Step 2: Convert to fraction form
    339.24/467.46 = 326.46/x
  3. Step 3: Cross multiply
    339.24x = 467.46 × 326.46
  4. Step 4: Simplify right side
    339.24x = 152,606.99
  5. Step 5: Solve for x
    x = 152,606.99/339.24
  6. Step 6: Final answer
    x = 449.85

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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.