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Finding the Fourth Proportional to 334.22, 498.05 and 323.20

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Solution

The fourth proportional to 334.22, 498.05 and 323.20 is: 481.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.22 : 498.05 = 323.20 : x
  2. Step 2: Convert to fraction form
    334.22/498.05 = 323.20/x
  3. Step 3: Cross multiply
    334.22x = 498.05 × 323.20
  4. Step 4: Simplify right side
    334.22x = 160,969.32
  5. Step 5: Solve for x
    x = 160,969.32/334.22
  6. Step 6: Final answer
    x = 481.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.