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Finding the Fourth Proportional to 302.38, 417.17 and 197.44

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Solution

The fourth proportional to 302.38, 417.17 and 197.44 is: 272.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.38 : 417.17 = 197.44 : x
  2. Step 2: Convert to fraction form
    302.38/417.17 = 197.44/x
  3. Step 3: Cross multiply
    302.38x = 417.17 × 197.44
  4. Step 4: Simplify right side
    302.38x = 82,365.50
  5. Step 5: Solve for x
    x = 82,365.50/302.38
  6. Step 6: Final answer
    x = 272.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.