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Finding the Fourth Proportional to 324.95, 489.61 and 294.14

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Solution

The fourth proportional to 324.95, 489.61 and 294.14 is: 443.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.95 : 489.61 = 294.14 : x
  2. Step 2: Convert to fraction form
    324.95/489.61 = 294.14/x
  3. Step 3: Cross multiply
    324.95x = 489.61 × 294.14
  4. Step 4: Simplify right side
    324.95x = 144,011.44
  5. Step 5: Solve for x
    x = 144,011.44/324.95
  6. Step 6: Final answer
    x = 443.18

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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.