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Finding the Fourth Proportional to 285.66, 427.94 and 219.85

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Solution

The fourth proportional to 285.66, 427.94 and 219.85 is: 329.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.66 : 427.94 = 219.85 : x
  2. Step 2: Convert to fraction form
    285.66/427.94 = 219.85/x
  3. Step 3: Cross multiply
    285.66x = 427.94 × 219.85
  4. Step 4: Simplify right side
    285.66x = 94,081.54
  5. Step 5: Solve for x
    x = 94,081.54/285.66
  6. Step 6: Final answer
    x = 329.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.