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Finding the Fourth Proportional to 388.08, 534.42 and 380.34

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Solution

The fourth proportional to 388.08, 534.42 and 380.34 is: 523.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.08 : 534.42 = 380.34 : x
  2. Step 2: Convert to fraction form
    388.08/534.42 = 380.34/x
  3. Step 3: Cross multiply
    388.08x = 534.42 × 380.34
  4. Step 4: Simplify right side
    388.08x = 203,261.30
  5. Step 5: Solve for x
    x = 203,261.30/388.08
  6. Step 6: Final answer
    x = 523.76

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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.