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Finding the Fourth Proportional to 326.66, 492.20 and 270.15

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Solution

The fourth proportional to 326.66, 492.20 and 270.15 is: 407.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.66 : 492.20 = 270.15 : x
  2. Step 2: Convert to fraction form
    326.66/492.20 = 270.15/x
  3. Step 3: Cross multiply
    326.66x = 492.20 × 270.15
  4. Step 4: Simplify right side
    326.66x = 132,964.02
  5. Step 5: Solve for x
    x = 132,964.02/326.66
  6. Step 6: Final answer
    x = 407.05

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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.