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Finding the Fourth Proportional to 190.82, 287.24 and 162.98

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Solution

The fourth proportional to 190.82, 287.24 and 162.98 is: 245.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.82 : 287.24 = 162.98 : x
  2. Step 2: Convert to fraction form
    190.82/287.24 = 162.98/x
  3. Step 3: Cross multiply
    190.82x = 287.24 × 162.98
  4. Step 4: Simplify right side
    190.82x = 46,814.38
  5. Step 5: Solve for x
    x = 46,814.38/190.82
  6. Step 6: Final answer
    x = 245.33

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.