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Finding the Fourth Proportional to 208.94, 288.31 and 115.67

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Solution

The fourth proportional to 208.94, 288.31 and 115.67 is: 159.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.94 : 288.31 = 115.67 : x
  2. Step 2: Convert to fraction form
    208.94/288.31 = 115.67/x
  3. Step 3: Cross multiply
    208.94x = 288.31 × 115.67
  4. Step 4: Simplify right side
    208.94x = 33,347.38
  5. Step 5: Solve for x
    x = 33,347.38/208.94
  6. Step 6: Final answer
    x = 159.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.