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Finding the Fourth Proportional to 204.19, 281.90 and 149.05

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Solution

The fourth proportional to 204.19, 281.90 and 149.05 is: 205.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.19 : 281.90 = 149.05 : x
  2. Step 2: Convert to fraction form
    204.19/281.90 = 149.05/x
  3. Step 3: Cross multiply
    204.19x = 281.90 × 149.05
  4. Step 4: Simplify right side
    204.19x = 42,017.20
  5. Step 5: Solve for x
    x = 42,017.20/204.19
  6. Step 6: Final answer
    x = 205.77

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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.