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Finding the Fourth Proportional to 294.52, 406.49 and 170.16

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Solution

The fourth proportional to 294.52, 406.49 and 170.16 is: 234.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.52 : 406.49 = 170.16 : x
  2. Step 2: Convert to fraction form
    294.52/406.49 = 170.16/x
  3. Step 3: Cross multiply
    294.52x = 406.49 × 170.16
  4. Step 4: Simplify right side
    294.52x = 69,167.68
  5. Step 5: Solve for x
    x = 69,167.68/294.52
  6. Step 6: Final answer
    x = 234.85

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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.