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Finding the Fourth Proportional to 492.58, 680.33 and 326.50

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Solution

The fourth proportional to 492.58, 680.33 and 326.50 is: 450.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.58 : 680.33 = 326.50 : x
  2. Step 2: Convert to fraction form
    492.58/680.33 = 326.50/x
  3. Step 3: Cross multiply
    492.58x = 680.33 × 326.50
  4. Step 4: Simplify right side
    492.58x = 222,127.75
  5. Step 5: Solve for x
    x = 222,127.75/492.58
  6. Step 6: Final answer
    x = 450.95

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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.