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Finding the Fourth Proportional to 137.46, 205.28 and 136.05

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Solution

The fourth proportional to 137.46, 205.28 and 136.05 is: 203.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.46 : 205.28 = 136.05 : x
  2. Step 2: Convert to fraction form
    137.46/205.28 = 136.05/x
  3. Step 3: Cross multiply
    137.46x = 205.28 × 136.05
  4. Step 4: Simplify right side
    137.46x = 27,928.34
  5. Step 5: Solve for x
    x = 27,928.34/137.46
  6. Step 6: Final answer
    x = 203.17

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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.