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Finding the Fourth Proportional to 137.66, 190.76 and 135.99

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Solution

The fourth proportional to 137.66, 190.76 and 135.99 is: 188.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.66 : 190.76 = 135.99 : x
  2. Step 2: Convert to fraction form
    137.66/190.76 = 135.99/x
  3. Step 3: Cross multiply
    137.66x = 190.76 × 135.99
  4. Step 4: Simplify right side
    137.66x = 25,941.45
  5. Step 5: Solve for x
    x = 25,941.45/137.66
  6. Step 6: Final answer
    x = 188.45

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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.