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Finding the Fourth Proportional to 202.24, 277.60 and 179.20

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Solution

The fourth proportional to 202.24, 277.60 and 179.20 is: 245.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.24 : 277.60 = 179.20 : x
  2. Step 2: Convert to fraction form
    202.24/277.60 = 179.20/x
  3. Step 3: Cross multiply
    202.24x = 277.60 × 179.20
  4. Step 4: Simplify right side
    202.24x = 49,745.92
  5. Step 5: Solve for x
    x = 49,745.92/202.24
  6. Step 6: Final answer
    x = 245.97

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.