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Finding the Fourth Proportional to 146.66, 202.42 and 91.43

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Solution

The fourth proportional to 146.66, 202.42 and 91.43 is: 126.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.66 : 202.42 = 91.43 : x
  2. Step 2: Convert to fraction form
    146.66/202.42 = 91.43/x
  3. Step 3: Cross multiply
    146.66x = 202.42 × 91.43
  4. Step 4: Simplify right side
    146.66x = 18,507.26
  5. Step 5: Solve for x
    x = 18,507.26/146.66
  6. Step 6: Final answer
    x = 126.19

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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.