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Finding the Fourth Proportional to 405.69, 559.83 and 231.01

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Solution

The fourth proportional to 405.69, 559.83 and 231.01 is: 318.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.69 : 559.83 = 231.01 : x
  2. Step 2: Convert to fraction form
    405.69/559.83 = 231.01/x
  3. Step 3: Cross multiply
    405.69x = 559.83 × 231.01
  4. Step 4: Simplify right side
    405.69x = 129,326.33
  5. Step 5: Solve for x
    x = 129,326.33/405.69
  6. Step 6: Final answer
    x = 318.78

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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.