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Finding the Fourth Proportional to 350.82, 484.32 and 210.97

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Solution

The fourth proportional to 350.82, 484.32 and 210.97 is: 291.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.82 : 484.32 = 210.97 : x
  2. Step 2: Convert to fraction form
    350.82/484.32 = 210.97/x
  3. Step 3: Cross multiply
    350.82x = 484.32 × 210.97
  4. Step 4: Simplify right side
    350.82x = 102,175.98
  5. Step 5: Solve for x
    x = 102,175.98/350.82
  6. Step 6: Final answer
    x = 291.25

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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.