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Finding the Fourth Proportional to 76.28, 113.60 and 71.63

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Solution

The fourth proportional to 76.28, 113.60 and 71.63 is: 106.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.28 : 113.60 = 71.63 : x
  2. Step 2: Convert to fraction form
    76.28/113.60 = 71.63/x
  3. Step 3: Cross multiply
    76.28x = 113.60 × 71.63
  4. Step 4: Simplify right side
    76.28x = 8,136.78
  5. Step 5: Solve for x
    x = 8,136.78/76.28
  6. Step 6: Final answer
    x = 106.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.