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Finding the Fourth Proportional to 559.99, 840.00 and 213.49

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Solution

The fourth proportional to 559.99, 840.00 and 213.49 is: 320.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.99 : 840.00 = 213.49 : x
  2. Step 2: Convert to fraction form
    559.99/840.00 = 213.49/x
  3. Step 3: Cross multiply
    559.99x = 840.00 × 213.49
  4. Step 4: Simplify right side
    559.99x = 179,326.33
  5. Step 5: Solve for x
    x = 179,326.33/559.99
  6. Step 6: Final answer
    x = 320.23

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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.