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Finding the Fourth Proportional to 438.11, 604.14 and 263.55

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Solution

The fourth proportional to 438.11, 604.14 and 263.55 is: 363.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.11 : 604.14 = 263.55 : x
  2. Step 2: Convert to fraction form
    438.11/604.14 = 263.55/x
  3. Step 3: Cross multiply
    438.11x = 604.14 × 263.55
  4. Step 4: Simplify right side
    438.11x = 159,221.10
  5. Step 5: Solve for x
    x = 159,221.10/438.11
  6. Step 6: Final answer
    x = 363.43

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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.