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Finding the Fourth Proportional to 190.36, 283.73 and 178.12

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Solution

The fourth proportional to 190.36, 283.73 and 178.12 is: 265.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.36 : 283.73 = 178.12 : x
  2. Step 2: Convert to fraction form
    190.36/283.73 = 178.12/x
  3. Step 3: Cross multiply
    190.36x = 283.73 × 178.12
  4. Step 4: Simplify right side
    190.36x = 50,537.99
  5. Step 5: Solve for x
    x = 50,537.99/190.36
  6. Step 6: Final answer
    x = 265.49

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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.