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Finding the Fourth Proportional to 137.08, 187.73 and 135.28

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Solution

The fourth proportional to 137.08, 187.73 and 135.28 is: 185.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.08 : 187.73 = 135.28 : x
  2. Step 2: Convert to fraction form
    137.08/187.73 = 135.28/x
  3. Step 3: Cross multiply
    137.08x = 187.73 × 135.28
  4. Step 4: Simplify right side
    137.08x = 25,396.11
  5. Step 5: Solve for x
    x = 25,396.11/137.08
  6. Step 6: Final answer
    x = 185.26

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.