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Finding the Fourth Proportional to 169.42, 253.62 and 120.69

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Solution

The fourth proportional to 169.42, 253.62 and 120.69 is: 180.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.42 : 253.62 = 120.69 : x
  2. Step 2: Convert to fraction form
    169.42/253.62 = 120.69/x
  3. Step 3: Cross multiply
    169.42x = 253.62 × 120.69
  4. Step 4: Simplify right side
    169.42x = 30,609.40
  5. Step 5: Solve for x
    x = 30,609.40/169.42
  6. Step 6: Final answer
    x = 180.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.