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Finding the Fourth Proportional to 208.45, 311.57 and 159.85

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Solution

The fourth proportional to 208.45, 311.57 and 159.85 is: 238.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.45 : 311.57 = 159.85 : x
  2. Step 2: Convert to fraction form
    208.45/311.57 = 159.85/x
  3. Step 3: Cross multiply
    208.45x = 311.57 × 159.85
  4. Step 4: Simplify right side
    208.45x = 49,804.46
  5. Step 5: Solve for x
    x = 49,804.46/208.45
  6. Step 6: Final answer
    x = 238.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.