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Finding the Fourth Proportional to 202.20, 279.08 and 128.62

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Solution

The fourth proportional to 202.20, 279.08 and 128.62 is: 177.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.20 : 279.08 = 128.62 : x
  2. Step 2: Convert to fraction form
    202.20/279.08 = 128.62/x
  3. Step 3: Cross multiply
    202.20x = 279.08 × 128.62
  4. Step 4: Simplify right side
    202.20x = 35,895.27
  5. Step 5: Solve for x
    x = 35,895.27/202.20
  6. Step 6: Final answer
    x = 177.52

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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.