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Finding the Fourth Proportional to 285.78, 394.50 and 182.28

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Solution

The fourth proportional to 285.78, 394.50 and 182.28 is: 251.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.78 : 394.50 = 182.28 : x
  2. Step 2: Convert to fraction form
    285.78/394.50 = 182.28/x
  3. Step 3: Cross multiply
    285.78x = 394.50 × 182.28
  4. Step 4: Simplify right side
    285.78x = 71,909.46
  5. Step 5: Solve for x
    x = 71,909.46/285.78
  6. Step 6: Final answer
    x = 251.63

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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.