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Finding the Fourth Proportional to 166.28, 250.51 and 130.37

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Solution

The fourth proportional to 166.28, 250.51 and 130.37 is: 196.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.28 : 250.51 = 130.37 : x
  2. Step 2: Convert to fraction form
    166.28/250.51 = 130.37/x
  3. Step 3: Cross multiply
    166.28x = 250.51 × 130.37
  4. Step 4: Simplify right side
    166.28x = 32,658.34
  5. Step 5: Solve for x
    x = 32,658.34/166.28
  6. Step 6: Final answer
    x = 196.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.