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Finding the Fourth Proportional to 378.83, 568.26 and 135.54

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Solution

The fourth proportional to 378.83, 568.26 and 135.54 is: 203.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.83 : 568.26 = 135.54 : x
  2. Step 2: Convert to fraction form
    378.83/568.26 = 135.54/x
  3. Step 3: Cross multiply
    378.83x = 568.26 × 135.54
  4. Step 4: Simplify right side
    378.83x = 77,021.96
  5. Step 5: Solve for x
    x = 77,021.96/378.83
  6. Step 6: Final answer
    x = 203.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.