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Finding the Fourth Proportional to 380.08, 523.68 and 347.32

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Solution

The fourth proportional to 380.08, 523.68 and 347.32 is: 478.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.08 : 523.68 = 347.32 : x
  2. Step 2: Convert to fraction form
    380.08/523.68 = 347.32/x
  3. Step 3: Cross multiply
    380.08x = 523.68 × 347.32
  4. Step 4: Simplify right side
    380.08x = 181,884.54
  5. Step 5: Solve for x
    x = 181,884.54/380.08
  6. Step 6: Final answer
    x = 478.54

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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.