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Finding the Fourth Proportional to 205.15, 282.75 and 149.77

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Solution

The fourth proportional to 205.15, 282.75 and 149.77 is: 206.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.15 : 282.75 = 149.77 : x
  2. Step 2: Convert to fraction form
    205.15/282.75 = 149.77/x
  3. Step 3: Cross multiply
    205.15x = 282.75 × 149.77
  4. Step 4: Simplify right side
    205.15x = 42,347.47
  5. Step 5: Solve for x
    x = 42,347.47/205.15
  6. Step 6: Final answer
    x = 206.42

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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.