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Finding the Fourth Proportional to 166.16, 228.81 and 129.25

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Solution

The fourth proportional to 166.16, 228.81 and 129.25 is: 177.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.16 : 228.81 = 129.25 : x
  2. Step 2: Convert to fraction form
    166.16/228.81 = 129.25/x
  3. Step 3: Cross multiply
    166.16x = 228.81 × 129.25
  4. Step 4: Simplify right side
    166.16x = 29,573.98
  5. Step 5: Solve for x
    x = 29,573.98/166.16
  6. Step 6: Final answer
    x = 177.99

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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.