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Finding the Fourth Proportional to 792.11, 1,188.08 and 272.12

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Solution

The fourth proportional to 792.11, 1,188.08 and 272.12 is: 408.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.11 : 1,188.08 = 272.12 : x
  2. Step 2: Convert to fraction form
    792.11/1,188.08 = 272.12/x
  3. Step 3: Cross multiply
    792.11x = 1,188.08 × 272.12
  4. Step 4: Simplify right side
    792.11x = 323,293.03
  5. Step 5: Solve for x
    x = 323,293.03/792.11
  6. Step 6: Final answer
    x = 408.14

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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.