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Finding the Fourth Proportional to 180.42, 268.76 and 169.21

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Solution

The fourth proportional to 180.42, 268.76 and 169.21 is: 252.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.42 : 268.76 = 169.21 : x
  2. Step 2: Convert to fraction form
    180.42/268.76 = 169.21/x
  3. Step 3: Cross multiply
    180.42x = 268.76 × 169.21
  4. Step 4: Simplify right side
    180.42x = 45,477.64
  5. Step 5: Solve for x
    x = 45,477.64/180.42
  6. Step 6: Final answer
    x = 252.07

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.