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Finding the Fourth Proportional to 405.72, 559.90 and 231.06

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Solution

The fourth proportional to 405.72, 559.90 and 231.06 is: 318.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.72 : 559.90 = 231.06 : x
  2. Step 2: Convert to fraction form
    405.72/559.90 = 231.06/x
  3. Step 3: Cross multiply
    405.72x = 559.90 × 231.06
  4. Step 4: Simplify right side
    405.72x = 129,370.49
  5. Step 5: Solve for x
    x = 129,370.49/405.72
  6. Step 6: Final answer
    x = 318.87

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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.