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Finding the Fourth Proportional to 166.26, 247.83 and 162.30

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Solution

The fourth proportional to 166.26, 247.83 and 162.30 is: 241.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.26 : 247.83 = 162.30 : x
  2. Step 2: Convert to fraction form
    166.26/247.83 = 162.30/x
  3. Step 3: Cross multiply
    166.26x = 247.83 × 162.30
  4. Step 4: Simplify right side
    166.26x = 40,222.81
  5. Step 5: Solve for x
    x = 40,222.81/166.26
  6. Step 6: Final answer
    x = 241.93

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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.