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Finding the Fourth Proportional to 380.37, 524.89 and 255.84

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Solution

The fourth proportional to 380.37, 524.89 and 255.84 is: 353.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.37 : 524.89 = 255.84 : x
  2. Step 2: Convert to fraction form
    380.37/524.89 = 255.84/x
  3. Step 3: Cross multiply
    380.37x = 524.89 × 255.84
  4. Step 4: Simplify right side
    380.37x = 134,287.86
  5. Step 5: Solve for x
    x = 134,287.86/380.37
  6. Step 6: Final answer
    x = 353.05

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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.