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Finding the Fourth Proportional to 206.48, 284.93 and 132.80

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Solution

The fourth proportional to 206.48, 284.93 and 132.80 is: 183.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.48 : 284.93 = 132.80 : x
  2. Step 2: Convert to fraction form
    206.48/284.93 = 132.80/x
  3. Step 3: Cross multiply
    206.48x = 284.93 × 132.80
  4. Step 4: Simplify right side
    206.48x = 37,836.62
  5. Step 5: Solve for x
    x = 37,836.62/206.48
  6. Step 6: Final answer
    x = 183.25

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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.