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Finding the Fourth Proportional to 207.06, 308.53 and 199.21

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Solution

The fourth proportional to 207.06, 308.53 and 199.21 is: 296.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.06 : 308.53 = 199.21 : x
  2. Step 2: Convert to fraction form
    207.06/308.53 = 199.21/x
  3. Step 3: Cross multiply
    207.06x = 308.53 × 199.21
  4. Step 4: Simplify right side
    207.06x = 61,461.20
  5. Step 5: Solve for x
    x = 61,461.20/207.06
  6. Step 6: Final answer
    x = 296.83

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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.