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Finding the Fourth Proportional to 455.91, 684.03 and 209.00

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Solution

The fourth proportional to 455.91, 684.03 and 209.00 is: 313.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.91 : 684.03 = 209.00 : x
  2. Step 2: Convert to fraction form
    455.91/684.03 = 209.00/x
  3. Step 3: Cross multiply
    455.91x = 684.03 × 209.00
  4. Step 4: Simplify right side
    455.91x = 142,958.85
  5. Step 5: Solve for x
    x = 142,958.85/455.91
  6. Step 6: Final answer
    x = 313.57

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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.