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Finding the Fourth Proportional to 492.84, 680.09 and 271.76

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Solution

The fourth proportional to 492.84, 680.09 and 271.76 is: 375.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.84 : 680.09 = 271.76 : x
  2. Step 2: Convert to fraction form
    492.84/680.09 = 271.76/x
  3. Step 3: Cross multiply
    492.84x = 680.09 × 271.76
  4. Step 4: Simplify right side
    492.84x = 184,821.26
  5. Step 5: Solve for x
    x = 184,821.26/492.84
  6. Step 6: Final answer
    x = 375.01

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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.