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Finding the Fourth Proportional to 285.54, 391.22 and 281.94

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Solution

The fourth proportional to 285.54, 391.22 and 281.94 is: 386.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.54 : 391.22 = 281.94 : x
  2. Step 2: Convert to fraction form
    285.54/391.22 = 281.94/x
  3. Step 3: Cross multiply
    285.54x = 391.22 × 281.94
  4. Step 4: Simplify right side
    285.54x = 110,299.16
  5. Step 5: Solve for x
    x = 110,299.16/285.54
  6. Step 6: Final answer
    x = 386.28

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.