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Finding the Fourth Proportional to 263.36, 363.39 and 158.42

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Solution

The fourth proportional to 263.36, 363.39 and 158.42 is: 218.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.36 : 363.39 = 158.42 : x
  2. Step 2: Convert to fraction form
    263.36/363.39 = 158.42/x
  3. Step 3: Cross multiply
    263.36x = 363.39 × 158.42
  4. Step 4: Simplify right side
    263.36x = 57,568.24
  5. Step 5: Solve for x
    x = 57,568.24/263.36
  6. Step 6: Final answer
    x = 218.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.