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Finding the Fourth Proportional to 205.13, 283.11 and 139.61

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Solution

The fourth proportional to 205.13, 283.11 and 139.61 is: 192.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.13 : 283.11 = 139.61 : x
  2. Step 2: Convert to fraction form
    205.13/283.11 = 139.61/x
  3. Step 3: Cross multiply
    205.13x = 283.11 × 139.61
  4. Step 4: Simplify right side
    205.13x = 39,524.99
  5. Step 5: Solve for x
    x = 39,524.99/205.13
  6. Step 6: Final answer
    x = 192.68

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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.