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Finding the Fourth Proportional to 326.89, 492.64 and 273.30

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Solution

The fourth proportional to 326.89, 492.64 and 273.30 is: 411.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.89 : 492.64 = 273.30 : x
  2. Step 2: Convert to fraction form
    326.89/492.64 = 273.30/x
  3. Step 3: Cross multiply
    326.89x = 492.64 × 273.30
  4. Step 4: Simplify right side
    326.89x = 134,638.51
  5. Step 5: Solve for x
    x = 134,638.51/326.89
  6. Step 6: Final answer
    x = 411.88

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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.