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Finding the Fourth Proportional to 190.67, 287.72 and 183.89

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Solution

The fourth proportional to 190.67, 287.72 and 183.89 is: 277.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.67 : 287.72 = 183.89 : x
  2. Step 2: Convert to fraction form
    190.67/287.72 = 183.89/x
  3. Step 3: Cross multiply
    190.67x = 287.72 × 183.89
  4. Step 4: Simplify right side
    190.67x = 52,906.47
  5. Step 5: Solve for x
    x = 52,906.47/190.67
  6. Step 6: Final answer
    x = 277.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.