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Finding the Fourth Proportional to 146.80, 201.32 and 140.80

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Solution

The fourth proportional to 146.80, 201.32 and 140.80 is: 193.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.80 : 201.32 = 140.80 : x
  2. Step 2: Convert to fraction form
    146.80/201.32 = 140.80/x
  3. Step 3: Cross multiply
    146.80x = 201.32 × 140.80
  4. Step 4: Simplify right side
    146.80x = 28,345.86
  5. Step 5: Solve for x
    x = 28,345.86/146.80
  6. Step 6: Final answer
    x = 193.09

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.