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Finding the Fourth Proportional to 326.96, 492.82 and 309.36

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Solution

The fourth proportional to 326.96, 492.82 and 309.36 is: 466.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.96 : 492.82 = 309.36 : x
  2. Step 2: Convert to fraction form
    326.96/492.82 = 309.36/x
  3. Step 3: Cross multiply
    326.96x = 492.82 × 309.36
  4. Step 4: Simplify right side
    326.96x = 152,458.80
  5. Step 5: Solve for x
    x = 152,458.80/326.96
  6. Step 6: Final answer
    x = 466.29

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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.