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Finding the Fourth Proportional to 178.20, 266.98 and 69.92

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Solution

The fourth proportional to 178.20, 266.98 and 69.92 is: 104.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.20 : 266.98 = 69.92 : x
  2. Step 2: Convert to fraction form
    178.20/266.98 = 69.92/x
  3. Step 3: Cross multiply
    178.20x = 266.98 × 69.92
  4. Step 4: Simplify right side
    178.20x = 18,667.24
  5. Step 5: Solve for x
    x = 18,667.24/178.20
  6. Step 6: Final answer
    x = 104.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.