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Finding the Fourth Proportional to 178.12, 266.60 and 109.78

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Solution

The fourth proportional to 178.12, 266.60 and 109.78 is: 164.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.12 : 266.60 = 109.78 : x
  2. Step 2: Convert to fraction form
    178.12/266.60 = 109.78/x
  3. Step 3: Cross multiply
    178.12x = 266.60 × 109.78
  4. Step 4: Simplify right side
    178.12x = 29,267.35
  5. Step 5: Solve for x
    x = 29,267.35/178.12
  6. Step 6: Final answer
    x = 164.31

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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.