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Finding the Fourth Proportional to 202.85, 279.86 and 129.14

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Solution

The fourth proportional to 202.85, 279.86 and 129.14 is: 178.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.85 : 279.86 = 129.14 : x
  2. Step 2: Convert to fraction form
    202.85/279.86 = 129.14/x
  3. Step 3: Cross multiply
    202.85x = 279.86 × 129.14
  4. Step 4: Simplify right side
    202.85x = 36,141.70
  5. Step 5: Solve for x
    x = 36,141.70/202.85
  6. Step 6: Final answer
    x = 178.17

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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.