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Finding the Fourth Proportional to 205.34, 281.88 and 176.18

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Solution

The fourth proportional to 205.34, 281.88 and 176.18 is: 241.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.34 : 281.88 = 176.18 : x
  2. Step 2: Convert to fraction form
    205.34/281.88 = 176.18/x
  3. Step 3: Cross multiply
    205.34x = 281.88 × 176.18
  4. Step 4: Simplify right side
    205.34x = 49,660.21
  5. Step 5: Solve for x
    x = 49,660.21/205.34
  6. Step 6: Final answer
    x = 241.85

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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.