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Finding the Fourth Proportional to 146, 217.90 and 129.56

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Solution

The fourth proportional to 146, 217.90 and 129.56 is: 193.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    146 : 217.90 = 129.56 : x
  2. Step 2: Convert to fraction form
    146/217.90 = 129.56/x
  3. Step 3: Cross multiply
    146x = 217.90 × 129.56
  4. Step 4: Simplify right side
    146x = 28,231.12
  5. Step 5: Solve for x
    x = 28,231.12/146
  6. Step 6: Final answer
    x = 193.36

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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.