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Finding the Fourth Proportional to 207.24, 308.52 and 206.03

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Solution

The fourth proportional to 207.24, 308.52 and 206.03 is: 306.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.24 : 308.52 = 206.03 : x
  2. Step 2: Convert to fraction form
    207.24/308.52 = 206.03/x
  3. Step 3: Cross multiply
    207.24x = 308.52 × 206.03
  4. Step 4: Simplify right side
    207.24x = 63,562.83
  5. Step 5: Solve for x
    x = 63,562.83/207.24
  6. Step 6: Final answer
    x = 306.71

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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.