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Finding the Fourth Proportional to 193.43, 266.14 and 158.33

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Solution

The fourth proportional to 193.43, 266.14 and 158.33 is: 217.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.43 : 266.14 = 158.33 : x
  2. Step 2: Convert to fraction form
    193.43/266.14 = 158.33/x
  3. Step 3: Cross multiply
    193.43x = 266.14 × 158.33
  4. Step 4: Simplify right side
    193.43x = 42,137.95
  5. Step 5: Solve for x
    x = 42,137.95/193.43
  6. Step 6: Final answer
    x = 217.85

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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.