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Finding the Fourth Proportional to 453.37, 679.83 and 209.70

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Solution

The fourth proportional to 453.37, 679.83 and 209.70 is: 314.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.37 : 679.83 = 209.70 : x
  2. Step 2: Convert to fraction form
    453.37/679.83 = 209.70/x
  3. Step 3: Cross multiply
    453.37x = 679.83 × 209.70
  4. Step 4: Simplify right side
    453.37x = 142,560.35
  5. Step 5: Solve for x
    x = 142,560.35/453.37
  6. Step 6: Final answer
    x = 314.45

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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.