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Finding the Fourth Proportional to 190.45, 283.73 and 188.61

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Solution

The fourth proportional to 190.45, 283.73 and 188.61 is: 280.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.45 : 283.73 = 188.61 : x
  2. Step 2: Convert to fraction form
    190.45/283.73 = 188.61/x
  3. Step 3: Cross multiply
    190.45x = 283.73 × 188.61
  4. Step 4: Simplify right side
    190.45x = 53,514.32
  5. Step 5: Solve for x
    x = 53,514.32/190.45
  6. Step 6: Final answer
    x = 280.99

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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.