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Finding the Fourth Proportional to 166.63, 228.28 and 160.48

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Solution

The fourth proportional to 166.63, 228.28 and 160.48 is: 219.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.63 : 228.28 = 160.48 : x
  2. Step 2: Convert to fraction form
    166.63/228.28 = 160.48/x
  3. Step 3: Cross multiply
    166.63x = 228.28 × 160.48
  4. Step 4: Simplify right side
    166.63x = 36,634.37
  5. Step 5: Solve for x
    x = 36,634.37/166.63
  6. Step 6: Final answer
    x = 219.85

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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.