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Finding the Fourth Proportional to 191.21, 263.87 and 103.89

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Solution

The fourth proportional to 191.21, 263.87 and 103.89 is: 143.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.21 : 263.87 = 103.89 : x
  2. Step 2: Convert to fraction form
    191.21/263.87 = 103.89/x
  3. Step 3: Cross multiply
    191.21x = 263.87 × 103.89
  4. Step 4: Simplify right side
    191.21x = 27,411.62
  5. Step 5: Solve for x
    x = 27,411.62/191.21
  6. Step 6: Final answer
    x = 143.36

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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.