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Finding the Fourth Proportional to 190.84, 284.87 and 165.34

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Solution

The fourth proportional to 190.84, 284.87 and 165.34 is: 246.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.84 : 284.87 = 165.34 : x
  2. Step 2: Convert to fraction form
    190.84/284.87 = 165.34/x
  3. Step 3: Cross multiply
    190.84x = 284.87 × 165.34
  4. Step 4: Simplify right side
    190.84x = 47,100.41
  5. Step 5: Solve for x
    x = 47,100.41/190.84
  6. Step 6: Final answer
    x = 246.81

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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.