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Finding the Fourth Proportional to 207.03, 308.49 and 197.21

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Solution

The fourth proportional to 207.03, 308.49 and 197.21 is: 293.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.03 : 308.49 = 197.21 : x
  2. Step 2: Convert to fraction form
    207.03/308.49 = 197.21/x
  3. Step 3: Cross multiply
    207.03x = 308.49 × 197.21
  4. Step 4: Simplify right side
    207.03x = 60,835.77
  5. Step 5: Solve for x
    x = 60,835.77/207.03
  6. Step 6: Final answer
    x = 293.85

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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.