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Finding the Fourth Proportional to 326.70, 492.02 and 308.48

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Solution

The fourth proportional to 326.70, 492.02 and 308.48 is: 464.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.70 : 492.02 = 308.48 : x
  2. Step 2: Convert to fraction form
    326.70/492.02 = 308.48/x
  3. Step 3: Cross multiply
    326.70x = 492.02 × 308.48
  4. Step 4: Simplify right side
    326.70x = 151,775.48
  5. Step 5: Solve for x
    x = 151,775.48/326.70
  6. Step 6: Final answer
    x = 464.57

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.