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Finding the Fourth Proportional to 283.41, 391.08 and 190.14

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Solution

The fourth proportional to 283.41, 391.08 and 190.14 is: 262.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.41 : 391.08 = 190.14 : x
  2. Step 2: Convert to fraction form
    283.41/391.08 = 190.14/x
  3. Step 3: Cross multiply
    283.41x = 391.08 × 190.14
  4. Step 4: Simplify right side
    283.41x = 74,360.31
  5. Step 5: Solve for x
    x = 74,360.31/283.41
  6. Step 6: Final answer
    x = 262.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.