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Finding the Fourth Proportional to 263.23, 363.13 and 158.27

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Solution

The fourth proportional to 263.23, 363.13 and 158.27 is: 218.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.23 : 363.13 = 158.27 : x
  2. Step 2: Convert to fraction form
    263.23/363.13 = 158.27/x
  3. Step 3: Cross multiply
    263.23x = 363.13 × 158.27
  4. Step 4: Simplify right side
    263.23x = 57,470.37
  5. Step 5: Solve for x
    x = 57,470.37/263.23
  6. Step 6: Final answer
    x = 218.33

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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.