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Finding the Fourth Proportional to 190.79, 287.61 and 178.25

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Solution

The fourth proportional to 190.79, 287.61 and 178.25 is: 268.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.79 : 287.61 = 178.25 : x
  2. Step 2: Convert to fraction form
    190.79/287.61 = 178.25/x
  3. Step 3: Cross multiply
    190.79x = 287.61 × 178.25
  4. Step 4: Simplify right side
    190.79x = 51,266.48
  5. Step 5: Solve for x
    x = 51,266.48/190.79
  6. Step 6: Final answer
    x = 268.71

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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.