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Finding the Fourth Proportional to 206.16, 307.02 and 199.68

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Solution

The fourth proportional to 206.16, 307.02 and 199.68 is: 297.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.16 : 307.02 = 199.68 : x
  2. Step 2: Convert to fraction form
    206.16/307.02 = 199.68/x
  3. Step 3: Cross multiply
    206.16x = 307.02 × 199.68
  4. Step 4: Simplify right side
    206.16x = 61,305.75
  5. Step 5: Solve for x
    x = 61,305.75/206.16
  6. Step 6: Final answer
    x = 297.37

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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.