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Finding the Fourth Proportional to 349.60, 481.03 and 302.83

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Solution

The fourth proportional to 349.60, 481.03 and 302.83 is: 416.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.60 : 481.03 = 302.83 : x
  2. Step 2: Convert to fraction form
    349.60/481.03 = 302.83/x
  3. Step 3: Cross multiply
    349.60x = 481.03 × 302.83
  4. Step 4: Simplify right side
    349.60x = 145,670.31
  5. Step 5: Solve for x
    x = 145,670.31/349.60
  6. Step 6: Final answer
    x = 416.68

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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.