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Finding the Fourth Proportional to 492.94, 680.24 and 271.89

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Solution

The fourth proportional to 492.94, 680.24 and 271.89 is: 375.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.94 : 680.24 = 271.89 : x
  2. Step 2: Convert to fraction form
    492.94/680.24 = 271.89/x
  3. Step 3: Cross multiply
    492.94x = 680.24 × 271.89
  4. Step 4: Simplify right side
    492.94x = 184,951.13
  5. Step 5: Solve for x
    x = 184,951.13/492.94
  6. Step 6: Final answer
    x = 375.20

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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.