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Finding the Fourth Proportional to 220.56, 304.42 and 137.70

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Solution

The fourth proportional to 220.56, 304.42 and 137.70 is: 190.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.56 : 304.42 = 137.70 : x
  2. Step 2: Convert to fraction form
    220.56/304.42 = 137.70/x
  3. Step 3: Cross multiply
    220.56x = 304.42 × 137.70
  4. Step 4: Simplify right side
    220.56x = 41,918.63
  5. Step 5: Solve for x
    x = 41,918.63/220.56
  6. Step 6: Final answer
    x = 190.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.