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Finding the Fourth Proportional to 405.29, 559.25 and 239.45

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Solution

The fourth proportional to 405.29, 559.25 and 239.45 is: 330.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.29 : 559.25 = 239.45 : x
  2. Step 2: Convert to fraction form
    405.29/559.25 = 239.45/x
  3. Step 3: Cross multiply
    405.29x = 559.25 × 239.45
  4. Step 4: Simplify right side
    405.29x = 133,908.42
  5. Step 5: Solve for x
    x = 133,908.42/405.29
  6. Step 6: Final answer
    x = 330.41

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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.