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Finding the Fourth Proportional to 202.86, 279.72 and 161.37

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Solution

The fourth proportional to 202.86, 279.72 and 161.37 is: 222.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.86 : 279.72 = 161.37 : x
  2. Step 2: Convert to fraction form
    202.86/279.72 = 161.37/x
  3. Step 3: Cross multiply
    202.86x = 279.72 × 161.37
  4. Step 4: Simplify right side
    202.86x = 45,138.42
  5. Step 5: Solve for x
    x = 45,138.42/202.86
  6. Step 6: Final answer
    x = 222.51

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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.