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Finding the Fourth Proportional to 179.81, 246.93 and 167.12

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Solution

The fourth proportional to 179.81, 246.93 and 167.12 is: 229.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.81 : 246.93 = 167.12 : x
  2. Step 2: Convert to fraction form
    179.81/246.93 = 167.12/x
  3. Step 3: Cross multiply
    179.81x = 246.93 × 167.12
  4. Step 4: Simplify right side
    179.81x = 41,265.71
  5. Step 5: Solve for x
    x = 41,265.71/179.81
  6. Step 6: Final answer
    x = 229.50

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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.