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Finding the Fourth Proportional to 370.88, 512.00 and 239.96

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Solution

The fourth proportional to 370.88, 512.00 and 239.96 is: 331.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.88 : 512.00 = 239.96 : x
  2. Step 2: Convert to fraction form
    370.88/512.00 = 239.96/x
  3. Step 3: Cross multiply
    370.88x = 512.00 × 239.96
  4. Step 4: Simplify right side
    370.88x = 122,860.50
  5. Step 5: Solve for x
    x = 122,860.50/370.88
  6. Step 6: Final answer
    x = 331.27

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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.