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Finding the Fourth Proportional to 206.46, 284.81 and 132.75

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Solution

The fourth proportional to 206.46, 284.81 and 132.75 is: 183.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.46 : 284.81 = 132.75 : x
  2. Step 2: Convert to fraction form
    206.46/284.81 = 132.75/x
  3. Step 3: Cross multiply
    206.46x = 284.81 × 132.75
  4. Step 4: Simplify right side
    206.46x = 37,807.86
  5. Step 5: Solve for x
    x = 37,807.86/206.46
  6. Step 6: Final answer
    x = 183.12

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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.