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Finding the Fourth Proportional to 328.11, 492.96 and 212.61

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Solution

The fourth proportional to 328.11, 492.96 and 212.61 is: 319.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.11 : 492.96 = 212.61 : x
  2. Step 2: Convert to fraction form
    328.11/492.96 = 212.61/x
  3. Step 3: Cross multiply
    328.11x = 492.96 × 212.61
  4. Step 4: Simplify right side
    328.11x = 104,808.23
  5. Step 5: Solve for x
    x = 104,808.23/328.11
  6. Step 6: Final answer
    x = 319.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.