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Finding the Fourth Proportional to 326.56, 492.24 and 319.20

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Solution

The fourth proportional to 326.56, 492.24 and 319.20 is: 481.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.56 : 492.24 = 319.20 : x
  2. Step 2: Convert to fraction form
    326.56/492.24 = 319.20/x
  3. Step 3: Cross multiply
    326.56x = 492.24 × 319.20
  4. Step 4: Simplify right side
    326.56x = 157,123.01
  5. Step 5: Solve for x
    x = 157,123.01/326.56
  6. Step 6: Final answer
    x = 481.15

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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.