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Finding the Fourth Proportional to 193.23, 266.66 and 105.90

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Solution

The fourth proportional to 193.23, 266.66 and 105.90 is: 146.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.23 : 266.66 = 105.90 : x
  2. Step 2: Convert to fraction form
    193.23/266.66 = 105.90/x
  3. Step 3: Cross multiply
    193.23x = 266.66 × 105.90
  4. Step 4: Simplify right side
    193.23x = 28,238.76
  5. Step 5: Solve for x
    x = 28,238.76/193.23
  6. Step 6: Final answer
    x = 146.14

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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.