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Finding the Fourth Proportional to 404.37, 560.19 and 394.80

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Solution

The fourth proportional to 404.37, 560.19 and 394.80 is: 546.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.37 : 560.19 = 394.80 : x
  2. Step 2: Convert to fraction form
    404.37/560.19 = 394.80/x
  3. Step 3: Cross multiply
    404.37x = 560.19 × 394.80
  4. Step 4: Simplify right side
    404.37x = 221,163.01
  5. Step 5: Solve for x
    x = 221,163.01/404.37
  6. Step 6: Final answer
    x = 546.93

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.