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Finding the Fourth Proportional to 263.24, 394.96 and 118.86

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Solution

The fourth proportional to 263.24, 394.96 and 118.86 is: 178.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.24 : 394.96 = 118.86 : x
  2. Step 2: Convert to fraction form
    263.24/394.96 = 118.86/x
  3. Step 3: Cross multiply
    263.24x = 394.96 × 118.86
  4. Step 4: Simplify right side
    263.24x = 46,944.95
  5. Step 5: Solve for x
    x = 46,944.95/263.24
  6. Step 6: Final answer
    x = 178.34

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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.