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Finding the Fourth Proportional to 205.35, 283.45 and 130.71

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Solution

The fourth proportional to 205.35, 283.45 and 130.71 is: 180.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.35 : 283.45 = 130.71 : x
  2. Step 2: Convert to fraction form
    205.35/283.45 = 130.71/x
  3. Step 3: Cross multiply
    205.35x = 283.45 × 130.71
  4. Step 4: Simplify right side
    205.35x = 37,049.42
  5. Step 5: Solve for x
    x = 37,049.42/205.35
  6. Step 6: Final answer
    x = 180.42

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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.