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Finding the Fourth Proportional to 208.87, 313.31 and 127.56

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Solution

The fourth proportional to 208.87, 313.31 and 127.56 is: 191.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.87 : 313.31 = 127.56 : x
  2. Step 2: Convert to fraction form
    208.87/313.31 = 127.56/x
  3. Step 3: Cross multiply
    208.87x = 313.31 × 127.56
  4. Step 4: Simplify right side
    208.87x = 39,965.82
  5. Step 5: Solve for x
    x = 39,965.82/208.87
  6. Step 6: Final answer
    x = 191.34

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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.