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Finding the Fourth Proportional to 174.83, 239.78 and 166.04

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Solution

The fourth proportional to 174.83, 239.78 and 166.04 is: 227.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.83 : 239.78 = 166.04 : x
  2. Step 2: Convert to fraction form
    174.83/239.78 = 166.04/x
  3. Step 3: Cross multiply
    174.83x = 239.78 × 166.04
  4. Step 4: Simplify right side
    174.83x = 39,811.04
  5. Step 5: Solve for x
    x = 39,811.04/174.83
  6. Step 6: Final answer
    x = 227.72

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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.