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Finding the Fourth Proportional to 375.64, 564.26 and 317.97

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Solution

The fourth proportional to 375.64, 564.26 and 317.97 is: 477.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.64 : 564.26 = 317.97 : x
  2. Step 2: Convert to fraction form
    375.64/564.26 = 317.97/x
  3. Step 3: Cross multiply
    375.64x = 564.26 × 317.97
  4. Step 4: Simplify right side
    375.64x = 179,416.16
  5. Step 5: Solve for x
    x = 179,416.16/375.64
  6. Step 6: Final answer
    x = 477.63

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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.