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Finding the Fourth Proportional to 402.44, 604.06 and 366.80

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Solution

The fourth proportional to 402.44, 604.06 and 366.80 is: 550.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.44 : 604.06 = 366.80 : x
  2. Step 2: Convert to fraction form
    402.44/604.06 = 366.80/x
  3. Step 3: Cross multiply
    402.44x = 604.06 × 366.80
  4. Step 4: Simplify right side
    402.44x = 221,565.27
  5. Step 5: Solve for x
    x = 221,565.27/402.44
  6. Step 6: Final answer
    x = 550.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.