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Finding the Fourth Proportional to 166.02, 247.53 and 161.82

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Solution

The fourth proportional to 166.02, 247.53 and 161.82 is: 241.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.02 : 247.53 = 161.82 : x
  2. Step 2: Convert to fraction form
    166.02/247.53 = 161.82/x
  3. Step 3: Cross multiply
    166.02x = 247.53 × 161.82
  4. Step 4: Simplify right side
    166.02x = 40,055.30
  5. Step 5: Solve for x
    x = 40,055.30/166.02
  6. Step 6: Final answer
    x = 241.27

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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.