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Finding the Fourth Proportional to 166.14, 227.93 and 156.83

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Solution

The fourth proportional to 166.14, 227.93 and 156.83 is: 215.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.14 : 227.93 = 156.83 : x
  2. Step 2: Convert to fraction form
    166.14/227.93 = 156.83/x
  3. Step 3: Cross multiply
    166.14x = 227.93 × 156.83
  4. Step 4: Simplify right side
    166.14x = 35,744.34
  5. Step 5: Solve for x
    x = 35,744.34/166.14
  6. Step 6: Final answer
    x = 215.15

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.