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Finding the Fourth Proportional to 169.64, 234.09 and 94.94

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Solution

The fourth proportional to 169.64, 234.09 and 94.94 is: 131.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.64 : 234.09 = 94.94 : x
  2. Step 2: Convert to fraction form
    169.64/234.09 = 94.94/x
  3. Step 3: Cross multiply
    169.64x = 234.09 × 94.94
  4. Step 4: Simplify right side
    169.64x = 22,225.09
  5. Step 5: Solve for x
    x = 22,225.09/169.64
  6. Step 6: Final answer
    x = 131.02

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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.