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Finding the Fourth Proportional to 208.10, 311.81 and 143.03

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Solution

The fourth proportional to 208.10, 311.81 and 143.03 is: 214.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.10 : 311.81 = 143.03 : x
  2. Step 2: Convert to fraction form
    208.10/311.81 = 143.03/x
  3. Step 3: Cross multiply
    208.10x = 311.81 × 143.03
  4. Step 4: Simplify right side
    208.10x = 44,595.91
  5. Step 5: Solve for x
    x = 44,595.91/208.10
  6. Step 6: Final answer
    x = 214.31

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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.