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Finding the Fourth Proportional to 206.88, 285.34 and 133.16

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Solution

The fourth proportional to 206.88, 285.34 and 133.16 is: 183.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.88 : 285.34 = 133.16 : x
  2. Step 2: Convert to fraction form
    206.88/285.34 = 133.16/x
  3. Step 3: Cross multiply
    206.88x = 285.34 × 133.16
  4. Step 4: Simplify right side
    206.88x = 37,995.87
  5. Step 5: Solve for x
    x = 37,995.87/206.88
  6. Step 6: Final answer
    x = 183.66

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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.