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Finding the Fourth Proportional to 378.37, 524.38 and 372.61

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Solution

The fourth proportional to 378.37, 524.38 and 372.61 is: 516.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.37 : 524.38 = 372.61 : x
  2. Step 2: Convert to fraction form
    378.37/524.38 = 372.61/x
  3. Step 3: Cross multiply
    378.37x = 524.38 × 372.61
  4. Step 4: Simplify right side
    378.37x = 195,389.23
  5. Step 5: Solve for x
    x = 195,389.23/378.37
  6. Step 6: Final answer
    x = 516.40

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.