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Finding the Fourth Proportional to 208.36, 311.09 and 188.20

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Solution

The fourth proportional to 208.36, 311.09 and 188.20 is: 280.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.36 : 311.09 = 188.20 : x
  2. Step 2: Convert to fraction form
    208.36/311.09 = 188.20/x
  3. Step 3: Cross multiply
    208.36x = 311.09 × 188.20
  4. Step 4: Simplify right side
    208.36x = 58,547.14
  5. Step 5: Solve for x
    x = 58,547.14/208.36
  6. Step 6: Final answer
    x = 280.99

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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.