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Finding the Fourth Proportional to 348.72, 481.74 and 322.80

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Solution

The fourth proportional to 348.72, 481.74 and 322.80 is: 445.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.72 : 481.74 = 322.80 : x
  2. Step 2: Convert to fraction form
    348.72/481.74 = 322.80/x
  3. Step 3: Cross multiply
    348.72x = 481.74 × 322.80
  4. Step 4: Simplify right side
    348.72x = 155,505.67
  5. Step 5: Solve for x
    x = 155,505.67/348.72
  6. Step 6: Final answer
    x = 445.93

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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.