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Finding the Fourth Proportional to 166.20, 228.78 and 166.20

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Solution

The fourth proportional to 166.20, 228.78 and 166.20 is: 228.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.20 : 228.78 = 166.20 : x
  2. Step 2: Convert to fraction form
    166.20/228.78 = 166.20/x
  3. Step 3: Cross multiply
    166.20x = 228.78 × 166.20
  4. Step 4: Simplify right side
    166.20x = 38,023.24
  5. Step 5: Solve for x
    x = 38,023.24/166.20
  6. Step 6: Final answer
    x = 228.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.