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Finding the Fourth Proportional to 208.87, 312.65 and 143.49

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Solution

The fourth proportional to 208.87, 312.65 and 143.49 is: 214.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.87 : 312.65 = 143.49 : x
  2. Step 2: Convert to fraction form
    208.87/312.65 = 143.49/x
  3. Step 3: Cross multiply
    208.87x = 312.65 × 143.49
  4. Step 4: Simplify right side
    208.87x = 44,861.01
  5. Step 5: Solve for x
    x = 44,861.01/208.87
  6. Step 6: Final answer
    x = 214.78

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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.