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Finding the Fourth Proportional to 326.93, 492.29 and 272.57

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Solution

The fourth proportional to 326.93, 492.29 and 272.57 is: 410.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.93 : 492.29 = 272.57 : x
  2. Step 2: Convert to fraction form
    326.93/492.29 = 272.57/x
  3. Step 3: Cross multiply
    326.93x = 492.29 × 272.57
  4. Step 4: Simplify right side
    326.93x = 134,183.49
  5. Step 5: Solve for x
    x = 134,183.49/326.93
  6. Step 6: Final answer
    x = 410.43

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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.