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Finding the Fourth Proportional to 193.11, 266.47 and 105.76

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Solution

The fourth proportional to 193.11, 266.47 and 105.76 is: 145.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.11 : 266.47 = 105.76 : x
  2. Step 2: Convert to fraction form
    193.11/266.47 = 105.76/x
  3. Step 3: Cross multiply
    193.11x = 266.47 × 105.76
  4. Step 4: Simplify right side
    193.11x = 28,181.87
  5. Step 5: Solve for x
    x = 28,181.87/193.11
  6. Step 6: Final answer
    x = 145.94

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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.