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Finding the Fourth Proportional to 70.00, 104.96 and 26.67

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Solution

The fourth proportional to 70.00, 104.96 and 26.67 is: 39.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.00 : 104.96 = 26.67 : x
  2. Step 2: Convert to fraction form
    70.00/104.96 = 26.67/x
  3. Step 3: Cross multiply
    70.00x = 104.96 × 26.67
  4. Step 4: Simplify right side
    70.00x = 2,798.76
  5. Step 5: Solve for x
    x = 2,798.76/70.00
  6. Step 6: Final answer
    x = 39.99

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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.