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Finding the Fourth Proportional to 325.44, 489.93 and 296.73

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Solution

The fourth proportional to 325.44, 489.93 and 296.73 is: 446.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.44 : 489.93 = 296.73 : x
  2. Step 2: Convert to fraction form
    325.44/489.93 = 296.73/x
  3. Step 3: Cross multiply
    325.44x = 489.93 × 296.73
  4. Step 4: Simplify right side
    325.44x = 145,376.93
  5. Step 5: Solve for x
    x = 145,376.93/325.44
  6. Step 6: Final answer
    x = 446.71

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.