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Finding the Fourth Proportional to 193.12, 287.56 and 182.56

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Solution

The fourth proportional to 193.12, 287.56 and 182.56 is: 271.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.12 : 287.56 = 182.56 : x
  2. Step 2: Convert to fraction form
    193.12/287.56 = 182.56/x
  3. Step 3: Cross multiply
    193.12x = 287.56 × 182.56
  4. Step 4: Simplify right side
    193.12x = 52,496.95
  5. Step 5: Solve for x
    x = 52,496.95/193.12
  6. Step 6: Final answer
    x = 271.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.