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Finding the Fourth Proportional to 208.20, 313.43 and 154.44

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Solution

The fourth proportional to 208.20, 313.43 and 154.44 is: 232.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.20 : 313.43 = 154.44 : x
  2. Step 2: Convert to fraction form
    208.20/313.43 = 154.44/x
  3. Step 3: Cross multiply
    208.20x = 313.43 × 154.44
  4. Step 4: Simplify right side
    208.20x = 48,405.36
  5. Step 5: Solve for x
    x = 48,405.36/208.20
  6. Step 6: Final answer
    x = 232.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.