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Finding the Fourth Proportional to 403.05, 604.34 and 159.29

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Solution

The fourth proportional to 403.05, 604.34 and 159.29 is: 238.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.05 : 604.34 = 159.29 : x
  2. Step 2: Convert to fraction form
    403.05/604.34 = 159.29/x
  3. Step 3: Cross multiply
    403.05x = 604.34 × 159.29
  4. Step 4: Simplify right side
    403.05x = 96,261.50
  5. Step 5: Solve for x
    x = 96,261.50/403.05
  6. Step 6: Final answer
    x = 238.83

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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.