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Finding the Fourth Proportional to 178.59, 268.14 and 109.91

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Solution

The fourth proportional to 178.59, 268.14 and 109.91 is: 165.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.59 : 268.14 = 109.91 : x
  2. Step 2: Convert to fraction form
    178.59/268.14 = 109.91/x
  3. Step 3: Cross multiply
    178.59x = 268.14 × 109.91
  4. Step 4: Simplify right side
    178.59x = 29,469.93
  5. Step 5: Solve for x
    x = 29,469.93/178.59
  6. Step 6: Final answer
    x = 165.01

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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.