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Finding the Fourth Proportional to 205.25, 283.36 and 158.53

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Solution

The fourth proportional to 205.25, 283.36 and 158.53 is: 218.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.25 : 283.36 = 158.53 : x
  2. Step 2: Convert to fraction form
    205.25/283.36 = 158.53/x
  3. Step 3: Cross multiply
    205.25x = 283.36 × 158.53
  4. Step 4: Simplify right side
    205.25x = 44,921.80
  5. Step 5: Solve for x
    x = 44,921.80/205.25
  6. Step 6: Final answer
    x = 218.87

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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.