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Finding the Fourth Proportional to 492.82, 738.86 and 261.42

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Solution

The fourth proportional to 492.82, 738.86 and 261.42 is: 391.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.82 : 738.86 = 261.42 : x
  2. Step 2: Convert to fraction form
    492.82/738.86 = 261.42/x
  3. Step 3: Cross multiply
    492.82x = 738.86 × 261.42
  4. Step 4: Simplify right side
    492.82x = 193,152.78
  5. Step 5: Solve for x
    x = 193,152.78/492.82
  6. Step 6: Final answer
    x = 391.93

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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.