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Finding the Fourth Proportional to 178.48, 246 and 163.77

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Solution

The fourth proportional to 178.48, 246 and 163.77 is: 225.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.48 : 246 = 163.77 : x
  2. Step 2: Convert to fraction form
    178.48/246 = 163.77/x
  3. Step 3: Cross multiply
    178.48x = 246 × 163.77
  4. Step 4: Simplify right side
    178.48x = 40,287.42
  5. Step 5: Solve for x
    x = 40,287.42/178.48
  6. Step 6: Final answer
    x = 225.73

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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.