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Finding the Fourth Proportional to 350.90, 484.25 and 203.57

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Solution

The fourth proportional to 350.90, 484.25 and 203.57 is: 280.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.90 : 484.25 = 203.57 : x
  2. Step 2: Convert to fraction form
    350.90/484.25 = 203.57/x
  3. Step 3: Cross multiply
    350.90x = 484.25 × 203.57
  4. Step 4: Simplify right side
    350.90x = 98,578.77
  5. Step 5: Solve for x
    x = 98,578.77/350.90
  6. Step 6: Final answer
    x = 280.93

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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.