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Finding the Fourth Proportional to 190.40, 285.92 and 184

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Solution

The fourth proportional to 190.40, 285.92 and 184 is: 276.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.40 : 285.92 = 184 : x
  2. Step 2: Convert to fraction form
    190.40/285.92 = 184/x
  3. Step 3: Cross multiply
    190.40x = 285.92 × 184
  4. Step 4: Simplify right side
    190.40x = 52,609.28
  5. Step 5: Solve for x
    x = 52,609.28/190.40
  6. Step 6: Final answer
    x = 276.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.