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Finding the Fourth Proportional to 205.46, 283.54 and 112.20

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Solution

The fourth proportional to 205.46, 283.54 and 112.20 is: 154.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.46 : 283.54 = 112.20 : x
  2. Step 2: Convert to fraction form
    205.46/283.54 = 112.20/x
  3. Step 3: Cross multiply
    205.46x = 283.54 × 112.20
  4. Step 4: Simplify right side
    205.46x = 31,813.34
  5. Step 5: Solve for x
    x = 31,813.34/205.46
  6. Step 6: Final answer
    x = 154.84

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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.