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Finding the Fourth Proportional to 378.26, 566.31 and 256.31

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Solution

The fourth proportional to 378.26, 566.31 and 256.31 is: 383.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.26 : 566.31 = 256.31 : x
  2. Step 2: Convert to fraction form
    378.26/566.31 = 256.31/x
  3. Step 3: Cross multiply
    378.26x = 566.31 × 256.31
  4. Step 4: Simplify right side
    378.26x = 145,147.12
  5. Step 5: Solve for x
    x = 145,147.12/378.26
  6. Step 6: Final answer
    x = 383.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.