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Finding the Fourth Proportional to 178.05, 266.62 and 109.37

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Solution

The fourth proportional to 178.05, 266.62 and 109.37 is: 163.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.05 : 266.62 = 109.37 : x
  2. Step 2: Convert to fraction form
    178.05/266.62 = 109.37/x
  3. Step 3: Cross multiply
    178.05x = 266.62 × 109.37
  4. Step 4: Simplify right side
    178.05x = 29,158.90
  5. Step 5: Solve for x
    x = 29,158.90/178.05
  6. Step 6: Final answer
    x = 163.77

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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.