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Finding the Fourth Proportional to 492.96, 739.39 and 127.78

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Solution

The fourth proportional to 492.96, 739.39 and 127.78 is: 191.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.96 : 739.39 = 127.78 : x
  2. Step 2: Convert to fraction form
    492.96/739.39 = 127.78/x
  3. Step 3: Cross multiply
    492.96x = 739.39 × 127.78
  4. Step 4: Simplify right side
    492.96x = 94,478.62
  5. Step 5: Solve for x
    x = 94,478.62/492.96
  6. Step 6: Final answer
    x = 191.66

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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.