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Finding the Fourth Proportional to 324.74, 489.39 and 292.28

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Solution

The fourth proportional to 324.74, 489.39 and 292.28 is: 440.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.74 : 489.39 = 292.28 : x
  2. Step 2: Convert to fraction form
    324.74/489.39 = 292.28/x
  3. Step 3: Cross multiply
    324.74x = 489.39 × 292.28
  4. Step 4: Simplify right side
    324.74x = 143,038.91
  5. Step 5: Solve for x
    x = 143,038.91/324.74
  6. Step 6: Final answer
    x = 440.47

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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.