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Finding the Fourth Proportional to 293.65, 404.42 and 287.27

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Solution

The fourth proportional to 293.65, 404.42 and 287.27 is: 395.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.65 : 404.42 = 287.27 : x
  2. Step 2: Convert to fraction form
    293.65/404.42 = 287.27/x
  3. Step 3: Cross multiply
    293.65x = 404.42 × 287.27
  4. Step 4: Simplify right side
    293.65x = 116,177.31
  5. Step 5: Solve for x
    x = 116,177.31/293.65
  6. Step 6: Final answer
    x = 395.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.