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Finding the Fourth Proportional to 194.71, 268.70 and 106.19

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Solution

The fourth proportional to 194.71, 268.70 and 106.19 is: 146.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.71 : 268.70 = 106.19 : x
  2. Step 2: Convert to fraction form
    194.71/268.70 = 106.19/x
  3. Step 3: Cross multiply
    194.71x = 268.70 × 106.19
  4. Step 4: Simplify right side
    194.71x = 28,533.39
  5. Step 5: Solve for x
    x = 28,533.39/194.71
  6. Step 6: Final answer
    x = 146.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.