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Finding the Fourth Proportional to 108.99, 163.33 and 78.49

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Solution

The fourth proportional to 108.99, 163.33 and 78.49 is: 117.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.99 : 163.33 = 78.49 : x
  2. Step 2: Convert to fraction form
    108.99/163.33 = 78.49/x
  3. Step 3: Cross multiply
    108.99x = 163.33 × 78.49
  4. Step 4: Simplify right side
    108.99x = 12,819.17
  5. Step 5: Solve for x
    x = 12,819.17/108.99
  6. Step 6: Final answer
    x = 117.62

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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.