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Finding the Fourth Proportional to 378.56, 523.32 and 316.64

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Solution

The fourth proportional to 378.56, 523.32 and 316.64 is: 437.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.56 : 523.32 = 316.64 : x
  2. Step 2: Convert to fraction form
    378.56/523.32 = 316.64/x
  3. Step 3: Cross multiply
    378.56x = 523.32 × 316.64
  4. Step 4: Simplify right side
    378.56x = 165,704.04
  5. Step 5: Solve for x
    x = 165,704.04/378.56
  6. Step 6: Final answer
    x = 437.72

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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.