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Finding the Fourth Proportional to 285.16, 393.91 and 220.48

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Solution

The fourth proportional to 285.16, 393.91 and 220.48 is: 304.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.16 : 393.91 = 220.48 : x
  2. Step 2: Convert to fraction form
    285.16/393.91 = 220.48/x
  3. Step 3: Cross multiply
    285.16x = 393.91 × 220.48
  4. Step 4: Simplify right side
    285.16x = 86,847.31
  5. Step 5: Solve for x
    x = 86,847.31/285.16
  6. Step 6: Final answer
    x = 304.56

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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.