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Finding the Fourth Proportional to 146.32, 220.72 and 139.14

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Solution

The fourth proportional to 146.32, 220.72 and 139.14 is: 209.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.32 : 220.72 = 139.14 : x
  2. Step 2: Convert to fraction form
    146.32/220.72 = 139.14/x
  3. Step 3: Cross multiply
    146.32x = 220.72 × 139.14
  4. Step 4: Simplify right side
    146.32x = 30,710.98
  5. Step 5: Solve for x
    x = 30,710.98/146.32
  6. Step 6: Final answer
    x = 209.89

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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.