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Finding the Fourth Proportional to 220.75, 304.74 and 138.06

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Solution

The fourth proportional to 220.75, 304.74 and 138.06 is: 190.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.75 : 304.74 = 138.06 : x
  2. Step 2: Convert to fraction form
    220.75/304.74 = 138.06/x
  3. Step 3: Cross multiply
    220.75x = 304.74 × 138.06
  4. Step 4: Simplify right side
    220.75x = 42,072.40
  5. Step 5: Solve for x
    x = 42,072.40/220.75
  6. Step 6: Final answer
    x = 190.59

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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.