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Finding the Fourth Proportional to 115.37, 174.05 and 109.67

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Solution

The fourth proportional to 115.37, 174.05 and 109.67 is: 165.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.37 : 174.05 = 109.67 : x
  2. Step 2: Convert to fraction form
    115.37/174.05 = 109.67/x
  3. Step 3: Cross multiply
    115.37x = 174.05 × 109.67
  4. Step 4: Simplify right side
    115.37x = 19,087.95
  5. Step 5: Solve for x
    x = 19,087.95/115.37
  6. Step 6: Final answer
    x = 165.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.