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Finding the Fourth Proportional to 467.69, 701.46 and 220.89

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Solution

The fourth proportional to 467.69, 701.46 and 220.89 is: 331.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.69 : 701.46 = 220.89 : x
  2. Step 2: Convert to fraction form
    467.69/701.46 = 220.89/x
  3. Step 3: Cross multiply
    467.69x = 701.46 × 220.89
  4. Step 4: Simplify right side
    467.69x = 154,947.55
  5. Step 5: Solve for x
    x = 154,947.55/467.69
  6. Step 6: Final answer
    x = 331.30

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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.