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Finding the Fourth Proportional to 119.45, 178.95 and 65.39

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Solution

The fourth proportional to 119.45, 178.95 and 65.39 is: 97.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.45 : 178.95 = 65.39 : x
  2. Step 2: Convert to fraction form
    119.45/178.95 = 65.39/x
  3. Step 3: Cross multiply
    119.45x = 178.95 × 65.39
  4. Step 4: Simplify right side
    119.45x = 11,701.54
  5. Step 5: Solve for x
    x = 11,701.54/119.45
  6. Step 6: Final answer
    x = 97.96

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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.