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Finding the Fourth Proportional to 302.74, 417.79 and 169.97

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Solution

The fourth proportional to 302.74, 417.79 and 169.97 is: 234.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.74 : 417.79 = 169.97 : x
  2. Step 2: Convert to fraction form
    302.74/417.79 = 169.97/x
  3. Step 3: Cross multiply
    302.74x = 417.79 × 169.97
  4. Step 4: Simplify right side
    302.74x = 71,011.77
  5. Step 5: Solve for x
    x = 71,011.77/302.74
  6. Step 6: Final answer
    x = 234.56

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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.