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Finding the Fourth Proportional to 146.55, 220.92 and 136.64

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Solution

The fourth proportional to 146.55, 220.92 and 136.64 is: 205.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.55 : 220.92 = 136.64 : x
  2. Step 2: Convert to fraction form
    146.55/220.92 = 136.64/x
  3. Step 3: Cross multiply
    146.55x = 220.92 × 136.64
  4. Step 4: Simplify right side
    146.55x = 30,186.23
  5. Step 5: Solve for x
    x = 30,186.23/146.55
  6. Step 6: Final answer
    x = 205.98

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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.