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Finding the Fourth Proportional to 405.79, 559.86 and 231.10

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Solution

The fourth proportional to 405.79, 559.86 and 231.10 is: 318.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.79 : 559.86 = 231.10 : x
  2. Step 2: Convert to fraction form
    405.79/559.86 = 231.10/x
  3. Step 3: Cross multiply
    405.79x = 559.86 × 231.10
  4. Step 4: Simplify right side
    405.79x = 129,383.65
  5. Step 5: Solve for x
    x = 129,383.65/405.79
  6. Step 6: Final answer
    x = 318.84

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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.