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Finding the Fourth Proportional to 205.91, 284.08 and 136

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Solution

The fourth proportional to 205.91, 284.08 and 136 is: 187.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.91 : 284.08 = 136 : x
  2. Step 2: Convert to fraction form
    205.91/284.08 = 136/x
  3. Step 3: Cross multiply
    205.91x = 284.08 × 136
  4. Step 4: Simplify right side
    205.91x = 38,634.20
  5. Step 5: Solve for x
    x = 38,634.20/205.91
  6. Step 6: Final answer
    x = 187.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.