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Finding the Fourth Proportional to 380.32, 524.60 and 249.32

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Solution

The fourth proportional to 380.32, 524.60 and 249.32 is: 343.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.32 : 524.60 = 249.32 : x
  2. Step 2: Convert to fraction form
    380.32/524.60 = 249.32/x
  3. Step 3: Cross multiply
    380.32x = 524.60 × 249.32
  4. Step 4: Simplify right side
    380.32x = 130,793.27
  5. Step 5: Solve for x
    x = 130,793.27/380.32
  6. Step 6: Final answer
    x = 343.90

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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.