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Finding the Fourth Proportional to 481.10, 663.88 and 284.54

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Solution

The fourth proportional to 481.10, 663.88 and 284.54 is: 392.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.10 : 663.88 = 284.54 : x
  2. Step 2: Convert to fraction form
    481.10/663.88 = 284.54/x
  3. Step 3: Cross multiply
    481.10x = 663.88 × 284.54
  4. Step 4: Simplify right side
    481.10x = 188,895.67
  5. Step 5: Solve for x
    x = 188,895.67/481.10
  6. Step 6: Final answer
    x = 392.64

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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.