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Finding the Fourth Proportional to 405.37, 561.58 and 395.80

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Solution

The fourth proportional to 405.37, 561.58 and 395.80 is: 548.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.37 : 561.58 = 395.80 : x
  2. Step 2: Convert to fraction form
    405.37/561.58 = 395.80/x
  3. Step 3: Cross multiply
    405.37x = 561.58 × 395.80
  4. Step 4: Simplify right side
    405.37x = 222,273.36
  5. Step 5: Solve for x
    x = 222,273.36/405.37
  6. Step 6: Final answer
    x = 548.32

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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.