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Finding the Fourth Proportional to 166, 230 and 165.12

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Solution

The fourth proportional to 166, 230 and 165.12 is: 228.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    166 : 230 = 165.12 : x
  2. Step 2: Convert to fraction form
    166/230 = 165.12/x
  3. Step 3: Cross multiply
    166x = 230 × 165.12
  4. Step 4: Simplify right side
    166x = 37,977.60
  5. Step 5: Solve for x
    x = 37,977.60/166
  6. Step 6: Final answer
    x = 228.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.