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Finding the Fourth Proportional to 375.64, 563.69 and 170.30

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Solution

The fourth proportional to 375.64, 563.69 and 170.30 is: 255.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.64 : 563.69 = 170.30 : x
  2. Step 2: Convert to fraction form
    375.64/563.69 = 170.30/x
  3. Step 3: Cross multiply
    375.64x = 563.69 × 170.30
  4. Step 4: Simplify right side
    375.64x = 95,998.24
  5. Step 5: Solve for x
    x = 95,998.24/375.64
  6. Step 6: Final answer
    x = 255.56

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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.