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Finding the Fourth Proportional to 190.50, 287.25 and 154.86

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Solution

The fourth proportional to 190.50, 287.25 and 154.86 is: 233.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.50 : 287.25 = 154.86 : x
  2. Step 2: Convert to fraction form
    190.50/287.25 = 154.86/x
  3. Step 3: Cross multiply
    190.50x = 287.25 × 154.86
  4. Step 4: Simplify right side
    190.50x = 44,483.54
  5. Step 5: Solve for x
    x = 44,483.54/190.50
  6. Step 6: Final answer
    x = 233.51

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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.