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Finding the Fourth Proportional to 202.33, 278.76 and 161.02

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Solution

The fourth proportional to 202.33, 278.76 and 161.02 is: 221.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.33 : 278.76 = 161.02 : x
  2. Step 2: Convert to fraction form
    202.33/278.76 = 161.02/x
  3. Step 3: Cross multiply
    202.33x = 278.76 × 161.02
  4. Step 4: Simplify right side
    202.33x = 44,885.94
  5. Step 5: Solve for x
    x = 44,885.94/202.33
  6. Step 6: Final answer
    x = 221.85

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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.