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Finding the Fourth Proportional to 408.22, 609.47 and 373.66

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Solution

The fourth proportional to 408.22, 609.47 and 373.66 is: 557.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.22 : 609.47 = 373.66 : x
  2. Step 2: Convert to fraction form
    408.22/609.47 = 373.66/x
  3. Step 3: Cross multiply
    408.22x = 609.47 × 373.66
  4. Step 4: Simplify right side
    408.22x = 227,734.56
  5. Step 5: Solve for x
    x = 227,734.56/408.22
  6. Step 6: Final answer
    x = 557.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.