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Finding the Fourth Proportional to 206.72, 307.42 and 199.28

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Solution

The fourth proportional to 206.72, 307.42 and 199.28 is: 296.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.72 : 307.42 = 199.28 : x
  2. Step 2: Convert to fraction form
    206.72/307.42 = 199.28/x
  3. Step 3: Cross multiply
    206.72x = 307.42 × 199.28
  4. Step 4: Simplify right side
    206.72x = 61,262.66
  5. Step 5: Solve for x
    x = 61,262.66/206.72
  6. Step 6: Final answer
    x = 296.36

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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.