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Finding the Fourth Proportional to 205.18, 283.02 and 142.89

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Solution

The fourth proportional to 205.18, 283.02 and 142.89 is: 197.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.18 : 283.02 = 142.89 : x
  2. Step 2: Convert to fraction form
    205.18/283.02 = 142.89/x
  3. Step 3: Cross multiply
    205.18x = 283.02 × 142.89
  4. Step 4: Simplify right side
    205.18x = 40,440.33
  5. Step 5: Solve for x
    x = 40,440.33/205.18
  6. Step 6: Final answer
    x = 197.09

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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.