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Finding the Fourth Proportional to 492.89, 738.62 and 261.66

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Solution

The fourth proportional to 492.89, 738.62 and 261.66 is: 392.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.89 : 738.62 = 261.66 : x
  2. Step 2: Convert to fraction form
    492.89/738.62 = 261.66/x
  3. Step 3: Cross multiply
    492.89x = 738.62 × 261.66
  4. Step 4: Simplify right side
    492.89x = 193,269.75
  5. Step 5: Solve for x
    x = 193,269.75/492.89
  6. Step 6: Final answer
    x = 392.12

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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.