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Finding the Fourth Proportional to 137.90, 188.95 and 136.20

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Solution

The fourth proportional to 137.90, 188.95 and 136.20 is: 186.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.90 : 188.95 = 136.20 : x
  2. Step 2: Convert to fraction form
    137.90/188.95 = 136.20/x
  3. Step 3: Cross multiply
    137.90x = 188.95 × 136.20
  4. Step 4: Simplify right side
    137.90x = 25,733.36
  5. Step 5: Solve for x
    x = 25,733.36/137.90
  6. Step 6: Final answer
    x = 186.60

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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.