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Finding the Fourth Proportional to 166.54, 228.58 and 159.86

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Solution

The fourth proportional to 166.54, 228.58 and 159.86 is: 219.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.54 : 228.58 = 159.86 : x
  2. Step 2: Convert to fraction form
    166.54/228.58 = 159.86/x
  3. Step 3: Cross multiply
    166.54x = 228.58 × 159.86
  4. Step 4: Simplify right side
    166.54x = 36,540.80
  5. Step 5: Solve for x
    x = 36,540.80/166.54
  6. Step 6: Final answer
    x = 219.41

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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.