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Finding the Fourth Proportional to 169.89, 234.16 and 134.76

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Solution

The fourth proportional to 169.89, 234.16 and 134.76 is: 185.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.89 : 234.16 = 134.76 : x
  2. Step 2: Convert to fraction form
    169.89/234.16 = 134.76/x
  3. Step 3: Cross multiply
    169.89x = 234.16 × 134.76
  4. Step 4: Simplify right side
    169.89x = 31,555.40
  5. Step 5: Solve for x
    x = 31,555.40/169.89
  6. Step 6: Final answer
    x = 185.74

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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.