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Finding the Fourth Proportional to 146.30, 218.28 and 131.26

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Solution

The fourth proportional to 146.30, 218.28 and 131.26 is: 195.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.30 : 218.28 = 131.26 : x
  2. Step 2: Convert to fraction form
    146.30/218.28 = 131.26/x
  3. Step 3: Cross multiply
    146.30x = 218.28 × 131.26
  4. Step 4: Simplify right side
    146.30x = 28,651.43
  5. Step 5: Solve for x
    x = 28,651.43/146.30
  6. Step 6: Final answer
    x = 195.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.