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Finding the Fourth Proportional to 205.50, 283.77 and 154.02

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Solution

The fourth proportional to 205.50, 283.77 and 154.02 is: 212.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.50 : 283.77 = 154.02 : x
  2. Step 2: Convert to fraction form
    205.50/283.77 = 154.02/x
  3. Step 3: Cross multiply
    205.50x = 283.77 × 154.02
  4. Step 4: Simplify right side
    205.50x = 43,706.26
  5. Step 5: Solve for x
    x = 43,706.26/205.50
  6. Step 6: Final answer
    x = 212.68

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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.