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Finding the Fourth Proportional to 324.15, 444.92 and 296.47

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Solution

The fourth proportional to 324.15, 444.92 and 296.47 is: 406.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.15 : 444.92 = 296.47 : x
  2. Step 2: Convert to fraction form
    324.15/444.92 = 296.47/x
  3. Step 3: Cross multiply
    324.15x = 444.92 × 296.47
  4. Step 4: Simplify right side
    324.15x = 131,903.21
  5. Step 5: Solve for x
    x = 131,903.21/324.15
  6. Step 6: Final answer
    x = 406.93

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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.