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Finding the Fourth Proportional to 285.78, 395.45 and 244.27

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Solution

The fourth proportional to 285.78, 395.45 and 244.27 is: 338.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.78 : 395.45 = 244.27 : x
  2. Step 2: Convert to fraction form
    285.78/395.45 = 244.27/x
  3. Step 3: Cross multiply
    285.78x = 395.45 × 244.27
  4. Step 4: Simplify right side
    285.78x = 96,596.57
  5. Step 5: Solve for x
    x = 96,596.57/285.78
  6. Step 6: Final answer
    x = 338.01

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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.