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Finding the Fourth Proportional to 388.26, 534.06 and 378.54

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Solution

The fourth proportional to 388.26, 534.06 and 378.54 is: 520.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.26 : 534.06 = 378.54 : x
  2. Step 2: Convert to fraction form
    388.26/534.06 = 378.54/x
  3. Step 3: Cross multiply
    388.26x = 534.06 × 378.54
  4. Step 4: Simplify right side
    388.26x = 202,163.07
  5. Step 5: Solve for x
    x = 202,163.07/388.26
  6. Step 6: Final answer
    x = 520.69

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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.