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Finding the Fourth Proportional to 313.14, 431.93 and 208.23

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Solution

The fourth proportional to 313.14, 431.93 and 208.23 is: 287.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.14 : 431.93 = 208.23 : x
  2. Step 2: Convert to fraction form
    313.14/431.93 = 208.23/x
  3. Step 3: Cross multiply
    313.14x = 431.93 × 208.23
  4. Step 4: Simplify right side
    313.14x = 89,940.78
  5. Step 5: Solve for x
    x = 89,940.78/313.14
  6. Step 6: Final answer
    x = 287.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.