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Finding the Fourth Proportional to 350.82, 484.16 and 211.01

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Solution

The fourth proportional to 350.82, 484.16 and 211.01 is: 291.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.82 : 484.16 = 211.01 : x
  2. Step 2: Convert to fraction form
    350.82/484.16 = 211.01/x
  3. Step 3: Cross multiply
    350.82x = 484.16 × 211.01
  4. Step 4: Simplify right side
    350.82x = 102,161.92
  5. Step 5: Solve for x
    x = 102,161.92/350.82
  6. Step 6: Final answer
    x = 291.21

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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.