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Finding the Fourth Proportional to 206.36, 308.13 and 175.91

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Solution

The fourth proportional to 206.36, 308.13 and 175.91 is: 262.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.36 : 308.13 = 175.91 : x
  2. Step 2: Convert to fraction form
    206.36/308.13 = 175.91/x
  3. Step 3: Cross multiply
    206.36x = 308.13 × 175.91
  4. Step 4: Simplify right side
    206.36x = 54,202.27
  5. Step 5: Solve for x
    x = 54,202.27/206.36
  6. Step 6: Final answer
    x = 262.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.