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Finding the Fourth Proportional to 334.33, 463.24 and 326.77

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Solution

The fourth proportional to 334.33, 463.24 and 326.77 is: 452.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.33 : 463.24 = 326.77 : x
  2. Step 2: Convert to fraction form
    334.33/463.24 = 326.77/x
  3. Step 3: Cross multiply
    334.33x = 463.24 × 326.77
  4. Step 4: Simplify right side
    334.33x = 151,372.93
  5. Step 5: Solve for x
    x = 151,372.93/334.33
  6. Step 6: Final answer
    x = 452.77

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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.