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Finding the Fourth Proportional to 89.85, 134.60 and 77.67

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Solution

The fourth proportional to 89.85, 134.60 and 77.67 is: 116.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.85 : 134.60 = 77.67 : x
  2. Step 2: Convert to fraction form
    89.85/134.60 = 77.67/x
  3. Step 3: Cross multiply
    89.85x = 134.60 × 77.67
  4. Step 4: Simplify right side
    89.85x = 10,453.99
  5. Step 5: Solve for x
    x = 10,453.99/89.85
  6. Step 6: Final answer
    x = 116.35

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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.