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Finding the Fourth Proportional to 313.34, 431.78 and 208.31

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Solution

The fourth proportional to 313.34, 431.78 and 208.31 is: 287.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.34 : 431.78 = 208.31 : x
  2. Step 2: Convert to fraction form
    313.34/431.78 = 208.31/x
  3. Step 3: Cross multiply
    313.34x = 431.78 × 208.31
  4. Step 4: Simplify right side
    313.34x = 89,940.89
  5. Step 5: Solve for x
    x = 89,940.89/313.34
  6. Step 6: Final answer
    x = 287.04

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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.