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Finding the Fourth Proportional to 166.48, 228.81 and 149.72

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Solution

The fourth proportional to 166.48, 228.81 and 149.72 is: 205.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.48 : 228.81 = 149.72 : x
  2. Step 2: Convert to fraction form
    166.48/228.81 = 149.72/x
  3. Step 3: Cross multiply
    166.48x = 228.81 × 149.72
  4. Step 4: Simplify right side
    166.48x = 34,257.43
  5. Step 5: Solve for x
    x = 34,257.43/166.48
  6. Step 6: Final answer
    x = 205.78

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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.