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Finding the Fourth Proportional to 137.40, 187.92 and 135.28

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Solution

The fourth proportional to 137.40, 187.92 and 135.28 is: 185.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.40 : 187.92 = 135.28 : x
  2. Step 2: Convert to fraction form
    137.40/187.92 = 135.28/x
  3. Step 3: Cross multiply
    137.40x = 187.92 × 135.28
  4. Step 4: Simplify right side
    137.40x = 25,421.82
  5. Step 5: Solve for x
    x = 25,421.82/137.40
  6. Step 6: Final answer
    x = 185.02

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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.