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Finding the Fourth Proportional to 405.70, 559.82 and 239.90

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Solution

The fourth proportional to 405.70, 559.82 and 239.90 is: 331.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.70 : 559.82 = 239.90 : x
  2. Step 2: Convert to fraction form
    405.70/559.82 = 239.90/x
  3. Step 3: Cross multiply
    405.70x = 559.82 × 239.90
  4. Step 4: Simplify right side
    405.70x = 134,300.82
  5. Step 5: Solve for x
    x = 134,300.82/405.70
  6. Step 6: Final answer
    x = 331.03

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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.