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Finding the Fourth Proportional to 350.08, 482.56 and 287.80

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Solution

The fourth proportional to 350.08, 482.56 and 287.80 is: 396.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.08 : 482.56 = 287.80 : x
  2. Step 2: Convert to fraction form
    350.08/482.56 = 287.80/x
  3. Step 3: Cross multiply
    350.08x = 482.56 × 287.80
  4. Step 4: Simplify right side
    350.08x = 138,880.77
  5. Step 5: Solve for x
    x = 138,880.77/350.08
  6. Step 6: Final answer
    x = 396.71

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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.