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Finding the Fourth Proportional to 146.35, 201.72 and 102.61

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Solution

The fourth proportional to 146.35, 201.72 and 102.61 is: 141.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.35 : 201.72 = 102.61 : x
  2. Step 2: Convert to fraction form
    146.35/201.72 = 102.61/x
  3. Step 3: Cross multiply
    146.35x = 201.72 × 102.61
  4. Step 4: Simplify right side
    146.35x = 20,698.49
  5. Step 5: Solve for x
    x = 20,698.49/146.35
  6. Step 6: Final answer
    x = 141.43

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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.