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Finding the Fourth Proportional to 378.12, 564.21 and 317.37

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Solution

The fourth proportional to 378.12, 564.21 and 317.37 is: 473.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.12 : 564.21 = 317.37 : x
  2. Step 2: Convert to fraction form
    378.12/564.21 = 317.37/x
  3. Step 3: Cross multiply
    378.12x = 564.21 × 317.37
  4. Step 4: Simplify right side
    378.12x = 179,063.33
  5. Step 5: Solve for x
    x = 179,063.33/378.12
  6. Step 6: Final answer
    x = 473.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.