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Finding the Fourth Proportional to 146.61, 220.75 and 129.60

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Solution

The fourth proportional to 146.61, 220.75 and 129.60 is: 195.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.61 : 220.75 = 129.60 : x
  2. Step 2: Convert to fraction form
    146.61/220.75 = 129.60/x
  3. Step 3: Cross multiply
    146.61x = 220.75 × 129.60
  4. Step 4: Simplify right side
    146.61x = 28,608.88
  5. Step 5: Solve for x
    x = 28,608.88/146.61
  6. Step 6: Final answer
    x = 195.14

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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.