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Finding the Fourth Proportional to 324.78, 489.01 and 286.51

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Solution

The fourth proportional to 324.78, 489.01 and 286.51 is: 431.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.78 : 489.01 = 286.51 : x
  2. Step 2: Convert to fraction form
    324.78/489.01 = 286.51/x
  3. Step 3: Cross multiply
    324.78x = 489.01 × 286.51
  4. Step 4: Simplify right side
    324.78x = 140,106.26
  5. Step 5: Solve for x
    x = 140,106.26/324.78
  6. Step 6: Final answer
    x = 431.38

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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.