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Finding the Fourth Proportional to 166.52, 228.30 and 165.11

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Solution

The fourth proportional to 166.52, 228.30 and 165.11 is: 226.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.52 : 228.30 = 165.11 : x
  2. Step 2: Convert to fraction form
    166.52/228.30 = 165.11/x
  3. Step 3: Cross multiply
    166.52x = 228.30 × 165.11
  4. Step 4: Simplify right side
    166.52x = 37,693.78
  5. Step 5: Solve for x
    x = 37,693.78/166.52
  6. Step 6: Final answer
    x = 226.36

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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.