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Finding the Fourth Proportional to 349.29, 481.41 and 309.06

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Solution

The fourth proportional to 349.29, 481.41 and 309.06 is: 425.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.29 : 481.41 = 309.06 : x
  2. Step 2: Convert to fraction form
    349.29/481.41 = 309.06/x
  3. Step 3: Cross multiply
    349.29x = 481.41 × 309.06
  4. Step 4: Simplify right side
    349.29x = 148,784.57
  5. Step 5: Solve for x
    x = 148,784.57/349.29
  6. Step 6: Final answer
    x = 425.96

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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.