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Finding the Fourth Proportional to 202.58, 302.07 and 198.94

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Solution

The fourth proportional to 202.58, 302.07 and 198.94 is: 296.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.58 : 302.07 = 198.94 : x
  2. Step 2: Convert to fraction form
    202.58/302.07 = 198.94/x
  3. Step 3: Cross multiply
    202.58x = 302.07 × 198.94
  4. Step 4: Simplify right side
    202.58x = 60,092.30
  5. Step 5: Solve for x
    x = 60,092.30/202.58
  6. Step 6: Final answer
    x = 296.63

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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.