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Finding the Fourth Proportional to 405.64, 559.33 and 321.81

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Solution

The fourth proportional to 405.64, 559.33 and 321.81 is: 443.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.64 : 559.33 = 321.81 : x
  2. Step 2: Convert to fraction form
    405.64/559.33 = 321.81/x
  3. Step 3: Cross multiply
    405.64x = 559.33 × 321.81
  4. Step 4: Simplify right side
    405.64x = 179,997.99
  5. Step 5: Solve for x
    x = 179,997.99/405.64
  6. Step 6: Final answer
    x = 443.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.