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Finding the Fourth Proportional to 202.21, 301.30 and 193.66

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Solution

The fourth proportional to 202.21, 301.30 and 193.66 is: 288.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.21 : 301.30 = 193.66 : x
  2. Step 2: Convert to fraction form
    202.21/301.30 = 193.66/x
  3. Step 3: Cross multiply
    202.21x = 301.30 × 193.66
  4. Step 4: Simplify right side
    202.21x = 58,349.61
  5. Step 5: Solve for x
    x = 58,349.61/202.21
  6. Step 6: Final answer
    x = 288.56

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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.