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Finding the Fourth Proportional to 179.73, 268.26 and 165.30

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Solution

The fourth proportional to 179.73, 268.26 and 165.30 is: 246.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.73 : 268.26 = 165.30 : x
  2. Step 2: Convert to fraction form
    179.73/268.26 = 165.30/x
  3. Step 3: Cross multiply
    179.73x = 268.26 × 165.30
  4. Step 4: Simplify right side
    179.73x = 44,343.38
  5. Step 5: Solve for x
    x = 44,343.38/179.73
  6. Step 6: Final answer
    x = 246.72

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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.