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Finding the Fourth Proportional to 146.16, 220.56 and 141.60

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Solution

The fourth proportional to 146.16, 220.56 and 141.60 is: 213.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.16 : 220.56 = 141.60 : x
  2. Step 2: Convert to fraction form
    146.16/220.56 = 141.60/x
  3. Step 3: Cross multiply
    146.16x = 220.56 × 141.60
  4. Step 4: Simplify right side
    146.16x = 31,231.30
  5. Step 5: Solve for x
    x = 31,231.30/146.16
  6. Step 6: Final answer
    x = 213.68

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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.