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Finding the Fourth Proportional to 203, 279.84 and 175.22

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Solution

The fourth proportional to 203, 279.84 and 175.22 is: 241.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    203 : 279.84 = 175.22 : x
  2. Step 2: Convert to fraction form
    203/279.84 = 175.22/x
  3. Step 3: Cross multiply
    203x = 279.84 × 175.22
  4. Step 4: Simplify right side
    203x = 49,033.56
  5. Step 5: Solve for x
    x = 49,033.56/203
  6. Step 6: Final answer
    x = 241.54

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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.