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Finding the Fourth Proportional to 146.68, 221.06 and 137.57

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Solution

The fourth proportional to 146.68, 221.06 and 137.57 is: 207.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.68 : 221.06 = 137.57 : x
  2. Step 2: Convert to fraction form
    146.68/221.06 = 137.57/x
  3. Step 3: Cross multiply
    146.68x = 221.06 × 137.57
  4. Step 4: Simplify right side
    146.68x = 30,410.54
  5. Step 5: Solve for x
    x = 30,410.54/146.68
  6. Step 6: Final answer
    x = 207.33

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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.