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Finding the Fourth Proportional to 166.36, 249.78 and 102.52

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Solution

The fourth proportional to 166.36, 249.78 and 102.52 is: 153.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.36 : 249.78 = 102.52 : x
  2. Step 2: Convert to fraction form
    166.36/249.78 = 102.52/x
  3. Step 3: Cross multiply
    166.36x = 249.78 × 102.52
  4. Step 4: Simplify right side
    166.36x = 25,607.45
  5. Step 5: Solve for x
    x = 25,607.45/166.36
  6. Step 6: Final answer
    x = 153.93

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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.