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Finding the Fourth Proportional to 190.80, 284.34 and 181.50

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Solution

The fourth proportional to 190.80, 284.34 and 181.50 is: 270.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.80 : 284.34 = 181.50 : x
  2. Step 2: Convert to fraction form
    190.80/284.34 = 181.50/x
  3. Step 3: Cross multiply
    190.80x = 284.34 × 181.50
  4. Step 4: Simplify right side
    190.80x = 51,607.71
  5. Step 5: Solve for x
    x = 51,607.71/190.80
  6. Step 6: Final answer
    x = 270.48

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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.