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Finding the Fourth Proportional to 285.56, 394.08 and 180.68

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Solution

The fourth proportional to 285.56, 394.08 and 180.68 is: 249.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.56 : 394.08 = 180.68 : x
  2. Step 2: Convert to fraction form
    285.56/394.08 = 180.68/x
  3. Step 3: Cross multiply
    285.56x = 394.08 × 180.68
  4. Step 4: Simplify right side
    285.56x = 71,202.37
  5. Step 5: Solve for x
    x = 71,202.37/285.56
  6. Step 6: Final answer
    x = 249.34

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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.