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Finding the Fourth Proportional to 166.93, 249.78 and 153.37

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Solution

The fourth proportional to 166.93, 249.78 and 153.37 is: 229.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.93 : 249.78 = 153.37 : x
  2. Step 2: Convert to fraction form
    166.93/249.78 = 153.37/x
  3. Step 3: Cross multiply
    166.93x = 249.78 × 153.37
  4. Step 4: Simplify right side
    166.93x = 38,308.76
  5. Step 5: Solve for x
    x = 38,308.76/166.93
  6. Step 6: Final answer
    x = 229.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.