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Finding the Fourth Proportional to 408.72, 562.65 and 367.26

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Solution

The fourth proportional to 408.72, 562.65 and 367.26 is: 505.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.72 : 562.65 = 367.26 : x
  2. Step 2: Convert to fraction form
    408.72/562.65 = 367.26/x
  3. Step 3: Cross multiply
    408.72x = 562.65 × 367.26
  4. Step 4: Simplify right side
    408.72x = 206,636.93
  5. Step 5: Solve for x
    x = 206,636.93/408.72
  6. Step 6: Final answer
    x = 505.57

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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.