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Finding the Fourth Proportional to 169.55, 234.01 and 107.45

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Solution

The fourth proportional to 169.55, 234.01 and 107.45 is: 148.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.55 : 234.01 = 107.45 : x
  2. Step 2: Convert to fraction form
    169.55/234.01 = 107.45/x
  3. Step 3: Cross multiply
    169.55x = 234.01 × 107.45
  4. Step 4: Simplify right side
    169.55x = 25,144.84
  5. Step 5: Solve for x
    x = 25,144.84/169.55
  6. Step 6: Final answer
    x = 148.30

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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.