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Finding the Fourth Proportional to 208.40, 311.08 and 194.16

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Solution

The fourth proportional to 208.40, 311.08 and 194.16 is: 289.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.40 : 311.08 = 194.16 : x
  2. Step 2: Convert to fraction form
    208.40/311.08 = 194.16/x
  3. Step 3: Cross multiply
    208.40x = 311.08 × 194.16
  4. Step 4: Simplify right side
    208.40x = 60,399.29
  5. Step 5: Solve for x
    x = 60,399.29/208.40
  6. Step 6: Final answer
    x = 289.82

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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.