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Finding the Fourth Proportional to 174.27, 242.11 and 172.69

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Solution

The fourth proportional to 174.27, 242.11 and 172.69 is: 239.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.27 : 242.11 = 172.69 : x
  2. Step 2: Convert to fraction form
    174.27/242.11 = 172.69/x
  3. Step 3: Cross multiply
    174.27x = 242.11 × 172.69
  4. Step 4: Simplify right side
    174.27x = 41,809.98
  5. Step 5: Solve for x
    x = 41,809.98/174.27
  6. Step 6: Final answer
    x = 239.91

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.