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Finding the Fourth Proportional to 190.08, 283.20 and 188.16

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Solution

The fourth proportional to 190.08, 283.20 and 188.16 is: 280.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.08 : 283.20 = 188.16 : x
  2. Step 2: Convert to fraction form
    190.08/283.20 = 188.16/x
  3. Step 3: Cross multiply
    190.08x = 283.20 × 188.16
  4. Step 4: Simplify right side
    190.08x = 53,286.91
  5. Step 5: Solve for x
    x = 53,286.91/190.08
  6. Step 6: Final answer
    x = 280.34

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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.