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Finding the Fourth Proportional to 166.51, 228.17 and 165.43

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Solution

The fourth proportional to 166.51, 228.17 and 165.43 is: 226.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.51 : 228.17 = 165.43 : x
  2. Step 2: Convert to fraction form
    166.51/228.17 = 165.43/x
  3. Step 3: Cross multiply
    166.51x = 228.17 × 165.43
  4. Step 4: Simplify right side
    166.51x = 37,746.16
  5. Step 5: Solve for x
    x = 37,746.16/166.51
  6. Step 6: Final answer
    x = 226.69

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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.