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Finding the Fourth Proportional to 169.54, 234.15 and 120.53

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Solution

The fourth proportional to 169.54, 234.15 and 120.53 is: 166.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.54 : 234.15 = 120.53 : x
  2. Step 2: Convert to fraction form
    169.54/234.15 = 120.53/x
  3. Step 3: Cross multiply
    169.54x = 234.15 × 120.53
  4. Step 4: Simplify right side
    169.54x = 28,222.10
  5. Step 5: Solve for x
    x = 28,222.10/169.54
  6. Step 6: Final answer
    x = 166.46

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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.