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Finding the Fourth Proportional to 205.42, 282.11 and 175.92

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Solution

The fourth proportional to 205.42, 282.11 and 175.92 is: 241.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.42 : 282.11 = 175.92 : x
  2. Step 2: Convert to fraction form
    205.42/282.11 = 175.92/x
  3. Step 3: Cross multiply
    205.42x = 282.11 × 175.92
  4. Step 4: Simplify right side
    205.42x = 49,628.79
  5. Step 5: Solve for x
    x = 49,628.79/205.42
  6. Step 6: Final answer
    x = 241.60

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.