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Finding the Fourth Proportional to 349, 482.30 and 286.73

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Solution

The fourth proportional to 349, 482.30 and 286.73 is: 396.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    349 : 482.30 = 286.73 : x
  2. Step 2: Convert to fraction form
    349/482.30 = 286.73/x
  3. Step 3: Cross multiply
    349x = 482.30 × 286.73
  4. Step 4: Simplify right side
    349x = 138,289.88
  5. Step 5: Solve for x
    x = 138,289.88/349
  6. Step 6: Final answer
    x = 396.25

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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.