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Finding the Fourth Proportional to 204.14, 281.76 and 146.10

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Solution

The fourth proportional to 204.14, 281.76 and 146.10 is: 201.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.14 : 281.76 = 146.10 : x
  2. Step 2: Convert to fraction form
    204.14/281.76 = 146.10/x
  3. Step 3: Cross multiply
    204.14x = 281.76 × 146.10
  4. Step 4: Simplify right side
    204.14x = 41,165.14
  5. Step 5: Solve for x
    x = 41,165.14/204.14
  6. Step 6: Final answer
    x = 201.65

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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.