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Finding the Fourth Proportional to 146.04, 217.29 and 133.89

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Solution

The fourth proportional to 146.04, 217.29 and 133.89 is: 199.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.04 : 217.29 = 133.89 : x
  2. Step 2: Convert to fraction form
    146.04/217.29 = 133.89/x
  3. Step 3: Cross multiply
    146.04x = 217.29 × 133.89
  4. Step 4: Simplify right side
    146.04x = 29,092.96
  5. Step 5: Solve for x
    x = 29,092.96/146.04
  6. Step 6: Final answer
    x = 199.21

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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.