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Finding the Fourth Proportional to 324.87, 489.58 and 292.40

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Solution

The fourth proportional to 324.87, 489.58 and 292.40 is: 440.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.87 : 489.58 = 292.40 : x
  2. Step 2: Convert to fraction form
    324.87/489.58 = 292.40/x
  3. Step 3: Cross multiply
    324.87x = 489.58 × 292.40
  4. Step 4: Simplify right side
    324.87x = 143,151.85
  5. Step 5: Solve for x
    x = 143,151.85/324.87
  6. Step 6: Final answer
    x = 440.65

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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.