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Finding the Fourth Proportional to 202.82, 279.84 and 129.23

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Solution

The fourth proportional to 202.82, 279.84 and 129.23 is: 178.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.82 : 279.84 = 129.23 : x
  2. Step 2: Convert to fraction form
    202.82/279.84 = 129.23/x
  3. Step 3: Cross multiply
    202.82x = 279.84 × 129.23
  4. Step 4: Simplify right side
    202.82x = 36,162.32
  5. Step 5: Solve for x
    x = 36,162.32/202.82
  6. Step 6: Final answer
    x = 178.30

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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.