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Finding the Fourth Proportional to 206.01, 284.16 and 132.21

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Solution

The fourth proportional to 206.01, 284.16 and 132.21 is: 182.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.01 : 284.16 = 132.21 : x
  2. Step 2: Convert to fraction form
    206.01/284.16 = 132.21/x
  3. Step 3: Cross multiply
    206.01x = 284.16 × 132.21
  4. Step 4: Simplify right side
    206.01x = 37,568.79
  5. Step 5: Solve for x
    x = 37,568.79/206.01
  6. Step 6: Final answer
    x = 182.36

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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.