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Finding the Fourth Proportional to 170.98, 236.16 and 169.78

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Solution

The fourth proportional to 170.98, 236.16 and 169.78 is: 234.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.98 : 236.16 = 169.78 : x
  2. Step 2: Convert to fraction form
    170.98/236.16 = 169.78/x
  3. Step 3: Cross multiply
    170.98x = 236.16 × 169.78
  4. Step 4: Simplify right side
    170.98x = 40,095.24
  5. Step 5: Solve for x
    x = 40,095.24/170.98
  6. Step 6: Final answer
    x = 234.50

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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.