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Finding the Fourth Proportional to 146.27, 201.82 and 84.10

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Solution

The fourth proportional to 146.27, 201.82 and 84.10 is: 116.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.27 : 201.82 = 84.10 : x
  2. Step 2: Convert to fraction form
    146.27/201.82 = 84.10/x
  3. Step 3: Cross multiply
    146.27x = 201.82 × 84.10
  4. Step 4: Simplify right side
    146.27x = 16,973.04
  5. Step 5: Solve for x
    x = 16,973.04/146.27
  6. Step 6: Final answer
    x = 116.04

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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.