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Finding the Fourth Proportional to 531.88, 799.32 and 326.92

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Solution

The fourth proportional to 531.88, 799.32 and 326.92 is: 491.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.88 : 799.32 = 326.92 : x
  2. Step 2: Convert to fraction form
    531.88/799.32 = 326.92/x
  3. Step 3: Cross multiply
    531.88x = 799.32 × 326.92
  4. Step 4: Simplify right side
    531.88x = 261,313.69
  5. Step 5: Solve for x
    x = 261,313.69/531.88
  6. Step 6: Final answer
    x = 491.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.