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Finding the Fourth Proportional to 205.42, 283.34 and 143.32

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Solution

The fourth proportional to 205.42, 283.34 and 143.32 is: 197.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.42 : 283.34 = 143.32 : x
  2. Step 2: Convert to fraction form
    205.42/283.34 = 143.32/x
  3. Step 3: Cross multiply
    205.42x = 283.34 × 143.32
  4. Step 4: Simplify right side
    205.42x = 40,608.29
  5. Step 5: Solve for x
    x = 40,608.29/205.42
  6. Step 6: Final answer
    x = 197.68

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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.