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Finding the Fourth Proportional to 438.11, 604.41 and 263.42

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Solution

The fourth proportional to 438.11, 604.41 and 263.42 is: 363.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.11 : 604.41 = 263.42 : x
  2. Step 2: Convert to fraction form
    438.11/604.41 = 263.42/x
  3. Step 3: Cross multiply
    438.11x = 604.41 × 263.42
  4. Step 4: Simplify right side
    438.11x = 159,213.68
  5. Step 5: Solve for x
    x = 159,213.68/438.11
  6. Step 6: Final answer
    x = 363.41

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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.