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Finding the Fourth Proportional to 302.70, 417.82 and 171.79

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Solution

The fourth proportional to 302.70, 417.82 and 171.79 is: 237.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.70 : 417.82 = 171.79 : x
  2. Step 2: Convert to fraction form
    302.70/417.82 = 171.79/x
  3. Step 3: Cross multiply
    302.70x = 417.82 × 171.79
  4. Step 4: Simplify right side
    302.70x = 71,777.91
  5. Step 5: Solve for x
    x = 71,777.91/302.70
  6. Step 6: Final answer
    x = 237.13

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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.