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Finding the Fourth Proportional to 208.05, 310.65 and 194.01

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Solution

The fourth proportional to 208.05, 310.65 and 194.01 is: 289.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.05 : 310.65 = 194.01 : x
  2. Step 2: Convert to fraction form
    208.05/310.65 = 194.01/x
  3. Step 3: Cross multiply
    208.05x = 310.65 × 194.01
  4. Step 4: Simplify right side
    208.05x = 60,269.21
  5. Step 5: Solve for x
    x = 60,269.21/208.05
  6. Step 6: Final answer
    x = 289.69

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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.