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Finding the Fourth Proportional to 348.54, 481.55 and 296.63

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Solution

The fourth proportional to 348.54, 481.55 and 296.63 is: 409.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.54 : 481.55 = 296.63 : x
  2. Step 2: Convert to fraction form
    348.54/481.55 = 296.63/x
  3. Step 3: Cross multiply
    348.54x = 481.55 × 296.63
  4. Step 4: Simplify right side
    348.54x = 142,840.09
  5. Step 5: Solve for x
    x = 142,840.09/348.54
  6. Step 6: Final answer
    x = 409.83

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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.