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Finding the Fourth Proportional to 378.80, 512.82 and 378.80

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Solution

The fourth proportional to 378.80, 512.82 and 378.80 is: 512.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.80 : 512.82 = 378.80 : x
  2. Step 2: Convert to fraction form
    378.80/512.82 = 378.80/x
  3. Step 3: Cross multiply
    378.80x = 512.82 × 378.80
  4. Step 4: Simplify right side
    378.80x = 194,256.22
  5. Step 5: Solve for x
    x = 194,256.22/378.80
  6. Step 6: Final answer
    x = 512.82

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.