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Finding the Fourth Proportional to 492.89, 680.17 and 271.86

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Solution

The fourth proportional to 492.89, 680.17 and 271.86 is: 375.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.89 : 680.17 = 271.86 : x
  2. Step 2: Convert to fraction form
    492.89/680.17 = 271.86/x
  3. Step 3: Cross multiply
    492.89x = 680.17 × 271.86
  4. Step 4: Simplify right side
    492.89x = 184,910.00
  5. Step 5: Solve for x
    x = 184,910.00/492.89
  6. Step 6: Final answer
    x = 375.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.