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Finding the Fourth Proportional to 311.36, 466.32 and 166.80

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Solution

The fourth proportional to 311.36, 466.32 and 166.80 is: 249.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.36 : 466.32 = 166.80 : x
  2. Step 2: Convert to fraction form
    311.36/466.32 = 166.80/x
  3. Step 3: Cross multiply
    311.36x = 466.32 × 166.80
  4. Step 4: Simplify right side
    311.36x = 77,782.18
  5. Step 5: Solve for x
    x = 77,782.18/311.36
  6. Step 6: Final answer
    x = 249.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.