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Finding the Fourth Proportional to 453.45, 679.86 and 209.64

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Solution

The fourth proportional to 453.45, 679.86 and 209.64 is: 314.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.45 : 679.86 = 209.64 : x
  2. Step 2: Convert to fraction form
    453.45/679.86 = 209.64/x
  3. Step 3: Cross multiply
    453.45x = 679.86 × 209.64
  4. Step 4: Simplify right side
    453.45x = 142,525.85
  5. Step 5: Solve for x
    x = 142,525.85/453.45
  6. Step 6: Final answer
    x = 314.31

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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.