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Finding the Fourth Proportional to 405.31, 559.34 and 239.67

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Solution

The fourth proportional to 405.31, 559.34 and 239.67 is: 330.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.31 : 559.34 = 239.67 : x
  2. Step 2: Convert to fraction form
    405.31/559.34 = 239.67/x
  3. Step 3: Cross multiply
    405.31x = 559.34 × 239.67
  4. Step 4: Simplify right side
    405.31x = 134,057.02
  5. Step 5: Solve for x
    x = 134,057.02/405.31
  6. Step 6: Final answer
    x = 330.75

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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.