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Finding the Fourth Proportional to 205.82, 284.12 and 150.96

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Solution

The fourth proportional to 205.82, 284.12 and 150.96 is: 208.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.82 : 284.12 = 150.96 : x
  2. Step 2: Convert to fraction form
    205.82/284.12 = 150.96/x
  3. Step 3: Cross multiply
    205.82x = 284.12 × 150.96
  4. Step 4: Simplify right side
    205.82x = 42,888.58
  5. Step 5: Solve for x
    x = 42,888.58/205.82
  6. Step 6: Final answer
    x = 208.38

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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.