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Finding the Fourth Proportional to 193.79, 266.77 and 164.63

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Solution

The fourth proportional to 193.79, 266.77 and 164.63 is: 226.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.79 : 266.77 = 164.63 : x
  2. Step 2: Convert to fraction form
    193.79/266.77 = 164.63/x
  3. Step 3: Cross multiply
    193.79x = 266.77 × 164.63
  4. Step 4: Simplify right side
    193.79x = 43,918.35
  5. Step 5: Solve for x
    x = 43,918.35/193.79
  6. Step 6: Final answer
    x = 226.63

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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.