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Finding the Fourth Proportional to 119.20, 178.90 and 65.14

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Solution

The fourth proportional to 119.20, 178.90 and 65.14 is: 97.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.20 : 178.90 = 65.14 : x
  2. Step 2: Convert to fraction form
    119.20/178.90 = 65.14/x
  3. Step 3: Cross multiply
    119.20x = 178.90 × 65.14
  4. Step 4: Simplify right side
    119.20x = 11,653.55
  5. Step 5: Solve for x
    x = 11,653.55/119.20
  6. Step 6: Final answer
    x = 97.76

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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.