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Finding the Fourth Proportional to 136.08, 205.74 and 136.08

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Solution

The fourth proportional to 136.08, 205.74 and 136.08 is: 205.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.08 : 205.74 = 136.08 : x
  2. Step 2: Convert to fraction form
    136.08/205.74 = 136.08/x
  3. Step 3: Cross multiply
    136.08x = 205.74 × 136.08
  4. Step 4: Simplify right side
    136.08x = 27,997.10
  5. Step 5: Solve for x
    x = 27,997.10/136.08
  6. Step 6: Final answer
    x = 205.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.