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Finding the Fourth Proportional to 169.49, 234.02 and 136.89

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Solution

The fourth proportional to 169.49, 234.02 and 136.89 is: 189.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.49 : 234.02 = 136.89 : x
  2. Step 2: Convert to fraction form
    169.49/234.02 = 136.89/x
  3. Step 3: Cross multiply
    169.49x = 234.02 × 136.89
  4. Step 4: Simplify right side
    169.49x = 32,035.00
  5. Step 5: Solve for x
    x = 32,035.00/169.49
  6. Step 6: Final answer
    x = 189.01

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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.