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Finding the Fourth Proportional to 179.71, 246.20 and 173.55

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Solution

The fourth proportional to 179.71, 246.20 and 173.55 is: 237.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.71 : 246.20 = 173.55 : x
  2. Step 2: Convert to fraction form
    179.71/246.20 = 173.55/x
  3. Step 3: Cross multiply
    179.71x = 246.20 × 173.55
  4. Step 4: Simplify right side
    179.71x = 42,728.01
  5. Step 5: Solve for x
    x = 42,728.01/179.71
  6. Step 6: Final answer
    x = 237.76

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.