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Finding the Fourth Proportional to 190.84, 284.20 and 186.84

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Solution

The fourth proportional to 190.84, 284.20 and 186.84 is: 278.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.84 : 284.20 = 186.84 : x
  2. Step 2: Convert to fraction form
    190.84/284.20 = 186.84/x
  3. Step 3: Cross multiply
    190.84x = 284.20 × 186.84
  4. Step 4: Simplify right side
    190.84x = 53,099.93
  5. Step 5: Solve for x
    x = 53,099.93/190.84
  6. Step 6: Final answer
    x = 278.24

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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.