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Finding the Fourth Proportional to 146.23, 220.14 and 133.47

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Solution

The fourth proportional to 146.23, 220.14 and 133.47 is: 200.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.23 : 220.14 = 133.47 : x
  2. Step 2: Convert to fraction form
    146.23/220.14 = 133.47/x
  3. Step 3: Cross multiply
    146.23x = 220.14 × 133.47
  4. Step 4: Simplify right side
    146.23x = 29,382.09
  5. Step 5: Solve for x
    x = 29,382.09/146.23
  6. Step 6: Final answer
    x = 200.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.