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Finding the Fourth Proportional to 208.25, 312.83 and 143.55

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Solution

The fourth proportional to 208.25, 312.83 and 143.55 is: 215.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.25 : 312.83 = 143.55 : x
  2. Step 2: Convert to fraction form
    208.25/312.83 = 143.55/x
  3. Step 3: Cross multiply
    208.25x = 312.83 × 143.55
  4. Step 4: Simplify right side
    208.25x = 44,906.75
  5. Step 5: Solve for x
    x = 44,906.75/208.25
  6. Step 6: Final answer
    x = 215.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.