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Finding the Fourth Proportional to 146.60, 201.10 and 143.02

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Solution

The fourth proportional to 146.60, 201.10 and 143.02 is: 196.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.60 : 201.10 = 143.02 : x
  2. Step 2: Convert to fraction form
    146.60/201.10 = 143.02/x
  3. Step 3: Cross multiply
    146.60x = 201.10 × 143.02
  4. Step 4: Simplify right side
    146.60x = 28,761.32
  5. Step 5: Solve for x
    x = 28,761.32/146.60
  6. Step 6: Final answer
    x = 196.19

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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.