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Finding the Fourth Proportional to 300.62, 415.77 and 239.06

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Solution

The fourth proportional to 300.62, 415.77 and 239.06 is: 330.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.62 : 415.77 = 239.06 : x
  2. Step 2: Convert to fraction form
    300.62/415.77 = 239.06/x
  3. Step 3: Cross multiply
    300.62x = 415.77 × 239.06
  4. Step 4: Simplify right side
    300.62x = 99,393.98
  5. Step 5: Solve for x
    x = 99,393.98/300.62
  6. Step 6: Final answer
    x = 330.63

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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.