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Finding the Fourth Proportional to 483.40, 667.19 and 378.28

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Solution

The fourth proportional to 483.40, 667.19 and 378.28 is: 522.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.40 : 667.19 = 378.28 : x
  2. Step 2: Convert to fraction form
    483.40/667.19 = 378.28/x
  3. Step 3: Cross multiply
    483.40x = 667.19 × 378.28
  4. Step 4: Simplify right side
    483.40x = 252,383.91
  5. Step 5: Solve for x
    x = 252,383.91/483.40
  6. Step 6: Final answer
    x = 522.10

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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.