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Finding the Fourth Proportional to 348.77, 481.97 and 289.69

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Solution

The fourth proportional to 348.77, 481.97 and 289.69 is: 400.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.77 : 481.97 = 289.69 : x
  2. Step 2: Convert to fraction form
    348.77/481.97 = 289.69/x
  3. Step 3: Cross multiply
    348.77x = 481.97 × 289.69
  4. Step 4: Simplify right side
    348.77x = 139,618.03
  5. Step 5: Solve for x
    x = 139,618.03/348.77
  6. Step 6: Final answer
    x = 400.32

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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.