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Finding the Fourth Proportional to 285.14, 394.26 and 220.16

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Solution

The fourth proportional to 285.14, 394.26 and 220.16 is: 304.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.14 : 394.26 = 220.16 : x
  2. Step 2: Convert to fraction form
    285.14/394.26 = 220.16/x
  3. Step 3: Cross multiply
    285.14x = 394.26 × 220.16
  4. Step 4: Simplify right side
    285.14x = 86,800.28
  5. Step 5: Solve for x
    x = 86,800.28/285.14
  6. Step 6: Final answer
    x = 304.41

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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.