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Finding the Fourth Proportional to 324.92, 445.13 and 312.59

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Solution

The fourth proportional to 324.92, 445.13 and 312.59 is: 428.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.92 : 445.13 = 312.59 : x
  2. Step 2: Convert to fraction form
    324.92/445.13 = 312.59/x
  3. Step 3: Cross multiply
    324.92x = 445.13 × 312.59
  4. Step 4: Simplify right side
    324.92x = 139,143.19
  5. Step 5: Solve for x
    x = 139,143.19/324.92
  6. Step 6: Final answer
    x = 428.24

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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.