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Finding the Fourth Proportional to 349.09, 480.46 and 278.92

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Solution

The fourth proportional to 349.09, 480.46 and 278.92 is: 383.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.09 : 480.46 = 278.92 : x
  2. Step 2: Convert to fraction form
    349.09/480.46 = 278.92/x
  3. Step 3: Cross multiply
    349.09x = 480.46 × 278.92
  4. Step 4: Simplify right side
    349.09x = 134,009.90
  5. Step 5: Solve for x
    x = 134,009.90/349.09
  6. Step 6: Final answer
    x = 383.88

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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.