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Finding the Fourth Proportional to 173.95, 260.89 and 91.67

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Solution

The fourth proportional to 173.95, 260.89 and 91.67 is: 137.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.95 : 260.89 = 91.67 : x
  2. Step 2: Convert to fraction form
    173.95/260.89 = 91.67/x
  3. Step 3: Cross multiply
    173.95x = 260.89 × 91.67
  4. Step 4: Simplify right side
    173.95x = 23,914.25
  5. Step 5: Solve for x
    x = 23,914.25/173.95
  6. Step 6: Final answer
    x = 137.48

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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.