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Finding the Fourth Proportional to 179.94, 268.73 and 178.05

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Solution

The fourth proportional to 179.94, 268.73 and 178.05 is: 265.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.94 : 268.73 = 178.05 : x
  2. Step 2: Convert to fraction form
    179.94/268.73 = 178.05/x
  3. Step 3: Cross multiply
    179.94x = 268.73 × 178.05
  4. Step 4: Simplify right side
    179.94x = 47,847.38
  5. Step 5: Solve for x
    x = 47,847.38/179.94
  6. Step 6: Final answer
    x = 265.91

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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.