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Finding the Fourth Proportional to 191.23, 263.90 and 103.90

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Solution

The fourth proportional to 191.23, 263.90 and 103.90 is: 143.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.23 : 263.90 = 103.90 : x
  2. Step 2: Convert to fraction form
    191.23/263.90 = 103.90/x
  3. Step 3: Cross multiply
    191.23x = 263.90 × 103.90
  4. Step 4: Simplify right side
    191.23x = 27,418.03
  5. Step 5: Solve for x
    x = 27,418.03/191.23
  6. Step 6: Final answer
    x = 143.38

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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.