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Finding the Fourth Proportional to 104.35, 144.02 and 57.73

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Solution

The fourth proportional to 104.35, 144.02 and 57.73 is: 79.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.35 : 144.02 = 57.73 : x
  2. Step 2: Convert to fraction form
    104.35/144.02 = 57.73/x
  3. Step 3: Cross multiply
    104.35x = 144.02 × 57.73
  4. Step 4: Simplify right side
    104.35x = 8,313.99
  5. Step 5: Solve for x
    x = 8,313.99/104.35
  6. Step 6: Final answer
    x = 79.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.