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Finding the Fourth Proportional to 792.40, 1,188.30 and 272.26

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Solution

The fourth proportional to 792.40, 1,188.30 and 272.26 is: 408.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.40 : 1,188.30 = 272.26 : x
  2. Step 2: Convert to fraction form
    792.40/1,188.30 = 272.26/x
  3. Step 3: Cross multiply
    792.40x = 1,188.30 × 272.26
  4. Step 4: Simplify right side
    792.40x = 323,526.56
  5. Step 5: Solve for x
    x = 323,526.56/792.40
  6. Step 6: Final answer
    x = 408.29

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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.