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Finding the Fourth Proportional to 492.99, 680.32 and 271.95

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Solution

The fourth proportional to 492.99, 680.32 and 271.95 is: 375.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.99 : 680.32 = 271.95 : x
  2. Step 2: Convert to fraction form
    492.99/680.32 = 271.95/x
  3. Step 3: Cross multiply
    492.99x = 680.32 × 271.95
  4. Step 4: Simplify right side
    492.99x = 185,013.02
  5. Step 5: Solve for x
    x = 185,013.02/492.99
  6. Step 6: Final answer
    x = 375.29

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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.