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Finding the Fourth Proportional to 205.74, 283.50 and 169.16

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Solution

The fourth proportional to 205.74, 283.50 and 169.16 is: 233.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.74 : 283.50 = 169.16 : x
  2. Step 2: Convert to fraction form
    205.74/283.50 = 169.16/x
  3. Step 3: Cross multiply
    205.74x = 283.50 × 169.16
  4. Step 4: Simplify right side
    205.74x = 47,955.44
  5. Step 5: Solve for x
    x = 47,955.44/205.74
  6. Step 6: Final answer
    x = 233.09

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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.