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Finding the Fourth Proportional to 372.02, 512.78 and 231.84

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Solution

The fourth proportional to 372.02, 512.78 and 231.84 is: 319.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.02 : 512.78 = 231.84 : x
  2. Step 2: Convert to fraction form
    372.02/512.78 = 231.84/x
  3. Step 3: Cross multiply
    372.02x = 512.78 × 231.84
  4. Step 4: Simplify right side
    372.02x = 118,882.92
  5. Step 5: Solve for x
    x = 118,882.92/372.02
  6. Step 6: Final answer
    x = 319.56

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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.