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Finding the Fourth Proportional to 324.41, 445.30 and 286.74

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Solution

The fourth proportional to 324.41, 445.30 and 286.74 is: 393.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.41 : 445.30 = 286.74 : x
  2. Step 2: Convert to fraction form
    324.41/445.30 = 286.74/x
  3. Step 3: Cross multiply
    324.41x = 445.30 × 286.74
  4. Step 4: Simplify right side
    324.41x = 127,684.61
  5. Step 5: Solve for x
    x = 127,684.61/324.41
  6. Step 6: Final answer
    x = 393.60

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.