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Finding the Fourth Proportional to 166.71, 228.39 and 160.56

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Solution

The fourth proportional to 166.71, 228.39 and 160.56 is: 219.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.71 : 228.39 = 160.56 : x
  2. Step 2: Convert to fraction form
    166.71/228.39 = 160.56/x
  3. Step 3: Cross multiply
    166.71x = 228.39 × 160.56
  4. Step 4: Simplify right side
    166.71x = 36,670.30
  5. Step 5: Solve for x
    x = 36,670.30/166.71
  6. Step 6: Final answer
    x = 219.96

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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.