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Finding the Fourth Proportional to 191.54, 264.44 and 139.03

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Solution

The fourth proportional to 191.54, 264.44 and 139.03 is: 191.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.54 : 264.44 = 139.03 : x
  2. Step 2: Convert to fraction form
    191.54/264.44 = 139.03/x
  3. Step 3: Cross multiply
    191.54x = 264.44 × 139.03
  4. Step 4: Simplify right side
    191.54x = 36,765.09
  5. Step 5: Solve for x
    x = 36,765.09/191.54
  6. Step 6: Final answer
    x = 191.94

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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.