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Finding the Fourth Proportional to 179.57, 268.73 and 130.84

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Solution

The fourth proportional to 179.57, 268.73 and 130.84 is: 195.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.57 : 268.73 = 130.84 : x
  2. Step 2: Convert to fraction form
    179.57/268.73 = 130.84/x
  3. Step 3: Cross multiply
    179.57x = 268.73 × 130.84
  4. Step 4: Simplify right side
    179.57x = 35,160.63
  5. Step 5: Solve for x
    x = 35,160.63/179.57
  6. Step 6: Final answer
    x = 195.80

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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.