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Finding the Fourth Proportional to 202.75, 279.78 and 114.23

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Solution

The fourth proportional to 202.75, 279.78 and 114.23 is: 157.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.75 : 279.78 = 114.23 : x
  2. Step 2: Convert to fraction form
    202.75/279.78 = 114.23/x
  3. Step 3: Cross multiply
    202.75x = 279.78 × 114.23
  4. Step 4: Simplify right side
    202.75x = 31,959.27
  5. Step 5: Solve for x
    x = 31,959.27/202.75
  6. Step 6: Final answer
    x = 157.63

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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.