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Finding the Fourth Proportional to 324.93, 489.17 and 296.23

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Solution

The fourth proportional to 324.93, 489.17 and 296.23 is: 445.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.93 : 489.17 = 296.23 : x
  2. Step 2: Convert to fraction form
    324.93/489.17 = 296.23/x
  3. Step 3: Cross multiply
    324.93x = 489.17 × 296.23
  4. Step 4: Simplify right side
    324.93x = 144,906.83
  5. Step 5: Solve for x
    x = 144,906.83/324.93
  6. Step 6: Final answer
    x = 445.96

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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.