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Finding the Fourth Proportional to 285.09, 391.93 and 283.34

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Solution

The fourth proportional to 285.09, 391.93 and 283.34 is: 389.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.09 : 391.93 = 283.34 : x
  2. Step 2: Convert to fraction form
    285.09/391.93 = 283.34/x
  3. Step 3: Cross multiply
    285.09x = 391.93 × 283.34
  4. Step 4: Simplify right side
    285.09x = 111,047.49
  5. Step 5: Solve for x
    x = 111,047.49/285.09
  6. Step 6: Final answer
    x = 389.52

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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.