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Finding the Fourth Proportional to 206.39, 284.91 and 132.77

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Solution

The fourth proportional to 206.39, 284.91 and 132.77 is: 183.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.39 : 284.91 = 132.77 : x
  2. Step 2: Convert to fraction form
    206.39/284.91 = 132.77/x
  3. Step 3: Cross multiply
    206.39x = 284.91 × 132.77
  4. Step 4: Simplify right side
    206.39x = 37,827.72
  5. Step 5: Solve for x
    x = 37,827.72/206.39
  6. Step 6: Final answer
    x = 183.28

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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.