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Finding the Fourth Proportional to 204.37, 282.15 and 149.05

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Solution

The fourth proportional to 204.37, 282.15 and 149.05 is: 205.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.37 : 282.15 = 149.05 : x
  2. Step 2: Convert to fraction form
    204.37/282.15 = 149.05/x
  3. Step 3: Cross multiply
    204.37x = 282.15 × 149.05
  4. Step 4: Simplify right side
    204.37x = 42,054.46
  5. Step 5: Solve for x
    x = 42,054.46/204.37
  6. Step 6: Final answer
    x = 205.78

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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.