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Finding the Fourth Proportional to 349.06, 481.72 and 290.74

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Solution

The fourth proportional to 349.06, 481.72 and 290.74 is: 401.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.06 : 481.72 = 290.74 : x
  2. Step 2: Convert to fraction form
    349.06/481.72 = 290.74/x
  3. Step 3: Cross multiply
    349.06x = 481.72 × 290.74
  4. Step 4: Simplify right side
    349.06x = 140,052.86
  5. Step 5: Solve for x
    x = 140,052.86/349.06
  6. Step 6: Final answer
    x = 401.23

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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.