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Finding the Fourth Proportional to 405.36, 561.60 and 396.72

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Solution

The fourth proportional to 405.36, 561.60 and 396.72 is: 549.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.36 : 561.60 = 396.72 : x
  2. Step 2: Convert to fraction form
    405.36/561.60 = 396.72/x
  3. Step 3: Cross multiply
    405.36x = 561.60 × 396.72
  4. Step 4: Simplify right side
    405.36x = 222,797.95
  5. Step 5: Solve for x
    x = 222,797.95/405.36
  6. Step 6: Final answer
    x = 549.63

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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.