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Finding the Fourth Proportional to 205.69, 283.89 and 135.76

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Solution

The fourth proportional to 205.69, 283.89 and 135.76 is: 187.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.69 : 283.89 = 135.76 : x
  2. Step 2: Convert to fraction form
    205.69/283.89 = 135.76/x
  3. Step 3: Cross multiply
    205.69x = 283.89 × 135.76
  4. Step 4: Simplify right side
    205.69x = 38,540.91
  5. Step 5: Solve for x
    x = 38,540.91/205.69
  6. Step 6: Final answer
    x = 187.37

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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.