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Finding the Fourth Proportional to 190.89, 287.82 and 173.07

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Solution

The fourth proportional to 190.89, 287.82 and 173.07 is: 260.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.89 : 287.82 = 173.07 : x
  2. Step 2: Convert to fraction form
    190.89/287.82 = 173.07/x
  3. Step 3: Cross multiply
    190.89x = 287.82 × 173.07
  4. Step 4: Simplify right side
    190.89x = 49,813.01
  5. Step 5: Solve for x
    x = 49,813.01/190.89
  6. Step 6: Final answer
    x = 260.95

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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.