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Finding the Fourth Proportional to 190.82, 285.18 and 139.57

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Solution

The fourth proportional to 190.82, 285.18 and 139.57 is: 208.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.82 : 285.18 = 139.57 : x
  2. Step 2: Convert to fraction form
    190.82/285.18 = 139.57/x
  3. Step 3: Cross multiply
    190.82x = 285.18 × 139.57
  4. Step 4: Simplify right side
    190.82x = 39,802.57
  5. Step 5: Solve for x
    x = 39,802.57/190.82
  6. Step 6: Final answer
    x = 208.59

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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.