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Finding the Fourth Proportional to 302.70, 417.56 and 197.78

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Solution

The fourth proportional to 302.70, 417.56 and 197.78 is: 272.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.70 : 417.56 = 197.78 : x
  2. Step 2: Convert to fraction form
    302.70/417.56 = 197.78/x
  3. Step 3: Cross multiply
    302.70x = 417.56 × 197.78
  4. Step 4: Simplify right side
    302.70x = 82,585.02
  5. Step 5: Solve for x
    x = 82,585.02/302.70
  6. Step 6: Final answer
    x = 272.83

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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.