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Finding the Fourth Proportional to 137.84, 205.61 and 136.08

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Solution

The fourth proportional to 137.84, 205.61 and 136.08 is: 202.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.84 : 205.61 = 136.08 : x
  2. Step 2: Convert to fraction form
    137.84/205.61 = 136.08/x
  3. Step 3: Cross multiply
    137.84x = 205.61 × 136.08
  4. Step 4: Simplify right side
    137.84x = 27,978.73
  5. Step 5: Solve for x
    x = 27,978.73/137.84
  6. Step 6: Final answer
    x = 202.99

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.