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Finding the Fourth Proportional to 193.05, 287.73 and 192.75

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Solution

The fourth proportional to 193.05, 287.73 and 192.75 is: 287.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.05 : 287.73 = 192.75 : x
  2. Step 2: Convert to fraction form
    193.05/287.73 = 192.75/x
  3. Step 3: Cross multiply
    193.05x = 287.73 × 192.75
  4. Step 4: Simplify right side
    193.05x = 55,459.96
  5. Step 5: Solve for x
    x = 55,459.96/193.05
  6. Step 6: Final answer
    x = 287.28

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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.