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Finding the Fourth Proportional to 146.88, 203.52 and 137.28

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Solution

The fourth proportional to 146.88, 203.52 and 137.28 is: 190.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.88 : 203.52 = 137.28 : x
  2. Step 2: Convert to fraction form
    146.88/203.52 = 137.28/x
  3. Step 3: Cross multiply
    146.88x = 203.52 × 137.28
  4. Step 4: Simplify right side
    146.88x = 27,939.23
  5. Step 5: Solve for x
    x = 27,939.23/146.88
  6. Step 6: Final answer
    x = 190.22

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.