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Finding the Fourth Proportional to 492.82, 738.66 and 275.96

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Solution

The fourth proportional to 492.82, 738.66 and 275.96 is: 413.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.82 : 738.66 = 275.96 : x
  2. Step 2: Convert to fraction form
    492.82/738.66 = 275.96/x
  3. Step 3: Cross multiply
    492.82x = 738.66 × 275.96
  4. Step 4: Simplify right side
    492.82x = 203,840.61
  5. Step 5: Solve for x
    x = 203,840.61/492.82
  6. Step 6: Final answer
    x = 413.62

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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.