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Finding the Fourth Proportional to 146.39, 201.29 and 129.98

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Solution

The fourth proportional to 146.39, 201.29 and 129.98 is: 178.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.39 : 201.29 = 129.98 : x
  2. Step 2: Convert to fraction form
    146.39/201.29 = 129.98/x
  3. Step 3: Cross multiply
    146.39x = 201.29 × 129.98
  4. Step 4: Simplify right side
    146.39x = 26,163.53
  5. Step 5: Solve for x
    x = 26,163.53/146.39
  6. Step 6: Final answer
    x = 178.73

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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.