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Finding the Fourth Proportional to 190.84, 284.97 and 149.80

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Solution

The fourth proportional to 190.84, 284.97 and 149.80 is: 223.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.84 : 284.97 = 149.80 : x
  2. Step 2: Convert to fraction form
    190.84/284.97 = 149.80/x
  3. Step 3: Cross multiply
    190.84x = 284.97 × 149.80
  4. Step 4: Simplify right side
    190.84x = 42,688.13
  5. Step 5: Solve for x
    x = 42,688.13/190.84
  6. Step 6: Final answer
    x = 223.69

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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.