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Finding the Fourth Proportional to 166.06, 228.95 and 116.92

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Solution

The fourth proportional to 166.06, 228.95 and 116.92 is: 161.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.06 : 228.95 = 116.92 : x
  2. Step 2: Convert to fraction form
    166.06/228.95 = 116.92/x
  3. Step 3: Cross multiply
    166.06x = 228.95 × 116.92
  4. Step 4: Simplify right side
    166.06x = 26,768.83
  5. Step 5: Solve for x
    x = 26,768.83/166.06
  6. Step 6: Final answer
    x = 161.20

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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.