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Finding the Fourth Proportional to 146.81, 220.22 and 139.12

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Solution

The fourth proportional to 146.81, 220.22 and 139.12 is: 208.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.81 : 220.22 = 139.12 : x
  2. Step 2: Convert to fraction form
    146.81/220.22 = 139.12/x
  3. Step 3: Cross multiply
    146.81x = 220.22 × 139.12
  4. Step 4: Simplify right side
    146.81x = 30,636.28
  5. Step 5: Solve for x
    x = 30,636.28/146.81
  6. Step 6: Final answer
    x = 208.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.