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Finding the Fourth Proportional to 328.29, 492.12 and 181.86

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Solution

The fourth proportional to 328.29, 492.12 and 181.86 is: 272.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.29 : 492.12 = 181.86 : x
  2. Step 2: Convert to fraction form
    328.29/492.12 = 181.86/x
  3. Step 3: Cross multiply
    328.29x = 492.12 × 181.86
  4. Step 4: Simplify right side
    328.29x = 89,496.94
  5. Step 5: Solve for x
    x = 89,496.94/328.29
  6. Step 6: Final answer
    x = 272.62

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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.