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Finding the Fourth Proportional to 163.86, 224.78 and 155.03

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Solution

The fourth proportional to 163.86, 224.78 and 155.03 is: 212.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.86 : 224.78 = 155.03 : x
  2. Step 2: Convert to fraction form
    163.86/224.78 = 155.03/x
  3. Step 3: Cross multiply
    163.86x = 224.78 × 155.03
  4. Step 4: Simplify right side
    163.86x = 34,847.64
  5. Step 5: Solve for x
    x = 34,847.64/163.86
  6. Step 6: Final answer
    x = 212.67

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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.