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Finding the Fourth Proportional to 202.08, 279.20 and 160.97

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Solution

The fourth proportional to 202.08, 279.20 and 160.97 is: 222.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.08 : 279.20 = 160.97 : x
  2. Step 2: Convert to fraction form
    202.08/279.20 = 160.97/x
  3. Step 3: Cross multiply
    202.08x = 279.20 × 160.97
  4. Step 4: Simplify right side
    202.08x = 44,942.72
  5. Step 5: Solve for x
    x = 44,942.72/202.08
  6. Step 6: Final answer
    x = 222.40

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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.