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Finding the Fourth Proportional to 382.93, 527.31 and 326.84

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Solution

The fourth proportional to 382.93, 527.31 and 326.84 is: 450.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.93 : 527.31 = 326.84 : x
  2. Step 2: Convert to fraction form
    382.93/527.31 = 326.84/x
  3. Step 3: Cross multiply
    382.93x = 527.31 × 326.84
  4. Step 4: Simplify right side
    382.93x = 172,343.36
  5. Step 5: Solve for x
    x = 172,343.36/382.93
  6. Step 6: Final answer
    x = 450.07

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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.