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Finding the Fourth Proportional to 180.81, 249.89 and 156.78

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Solution

The fourth proportional to 180.81, 249.89 and 156.78 is: 216.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.81 : 249.89 = 156.78 : x
  2. Step 2: Convert to fraction form
    180.81/249.89 = 156.78/x
  3. Step 3: Cross multiply
    180.81x = 249.89 × 156.78
  4. Step 4: Simplify right side
    180.81x = 39,176.97
  5. Step 5: Solve for x
    x = 39,176.97/180.81
  6. Step 6: Final answer
    x = 216.67

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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.