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Finding the Fourth Proportional to 403.27, 604.21 and 266.26

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Solution

The fourth proportional to 403.27, 604.21 and 266.26 is: 398.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.27 : 604.21 = 266.26 : x
  2. Step 2: Convert to fraction form
    403.27/604.21 = 266.26/x
  3. Step 3: Cross multiply
    403.27x = 604.21 × 266.26
  4. Step 4: Simplify right side
    403.27x = 160,876.95
  5. Step 5: Solve for x
    x = 160,876.95/403.27
  6. Step 6: Final answer
    x = 398.93

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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.