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Finding the Fourth Proportional to 206.03, 284.32 and 112.77

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Solution

The fourth proportional to 206.03, 284.32 and 112.77 is: 155.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.03 : 284.32 = 112.77 : x
  2. Step 2: Convert to fraction form
    206.03/284.32 = 112.77/x
  3. Step 3: Cross multiply
    206.03x = 284.32 × 112.77
  4. Step 4: Simplify right side
    206.03x = 32,063.97
  5. Step 5: Solve for x
    x = 32,063.97/206.03
  6. Step 6: Final answer
    x = 155.63

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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.