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Finding the Fourth Proportional to 166.36, 231.17 and 164.32

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Solution

The fourth proportional to 166.36, 231.17 and 164.32 is: 228.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.36 : 231.17 = 164.32 : x
  2. Step 2: Convert to fraction form
    166.36/231.17 = 164.32/x
  3. Step 3: Cross multiply
    166.36x = 231.17 × 164.32
  4. Step 4: Simplify right side
    166.36x = 37,985.85
  5. Step 5: Solve for x
    x = 37,985.85/166.36
  6. Step 6: Final answer
    x = 228.34

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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.