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Finding the Fourth Proportional to 263.24, 394.98 and 119.04

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Solution

The fourth proportional to 263.24, 394.98 and 119.04 is: 178.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.24 : 394.98 = 119.04 : x
  2. Step 2: Convert to fraction form
    263.24/394.98 = 119.04/x
  3. Step 3: Cross multiply
    263.24x = 394.98 × 119.04
  4. Step 4: Simplify right side
    263.24x = 47,018.42
  5. Step 5: Solve for x
    x = 47,018.42/263.24
  6. Step 6: Final answer
    x = 178.61

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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.