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Finding the Fourth Proportional to 208.54, 313.17 and 199.81

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Solution

The fourth proportional to 208.54, 313.17 and 199.81 is: 300.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.54 : 313.17 = 199.81 : x
  2. Step 2: Convert to fraction form
    208.54/313.17 = 199.81/x
  3. Step 3: Cross multiply
    208.54x = 313.17 × 199.81
  4. Step 4: Simplify right side
    208.54x = 62,574.50
  5. Step 5: Solve for x
    x = 62,574.50/208.54
  6. Step 6: Final answer
    x = 300.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.