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Finding the Fourth Proportional to 324.66, 445.64 and 286.99

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Solution

The fourth proportional to 324.66, 445.64 and 286.99 is: 393.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.66 : 445.64 = 286.99 : x
  2. Step 2: Convert to fraction form
    324.66/445.64 = 286.99/x
  3. Step 3: Cross multiply
    324.66x = 445.64 × 286.99
  4. Step 4: Simplify right side
    324.66x = 127,894.22
  5. Step 5: Solve for x
    x = 127,894.22/324.66
  6. Step 6: Final answer
    x = 393.94

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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.