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Finding the Fourth Proportional to 202.90, 279.60 and 190.75

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Solution

The fourth proportional to 202.90, 279.60 and 190.75 is: 262.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.90 : 279.60 = 190.75 : x
  2. Step 2: Convert to fraction form
    202.90/279.60 = 190.75/x
  3. Step 3: Cross multiply
    202.90x = 279.60 × 190.75
  4. Step 4: Simplify right side
    202.90x = 53,333.70
  5. Step 5: Solve for x
    x = 53,333.70/202.90
  6. Step 6: Final answer
    x = 262.86

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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.