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Finding the Fourth Proportional to 555.99, 833.94 and 209.21

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Solution

The fourth proportional to 555.99, 833.94 and 209.21 is: 313.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.99 : 833.94 = 209.21 : x
  2. Step 2: Convert to fraction form
    555.99/833.94 = 209.21/x
  3. Step 3: Cross multiply
    555.99x = 833.94 × 209.21
  4. Step 4: Simplify right side
    555.99x = 174,467.54
  5. Step 5: Solve for x
    x = 174,467.54/555.99
  6. Step 6: Final answer
    x = 313.80

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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.