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Finding the Fourth Proportional to 375.44, 563.08 and 253.76

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Solution

The fourth proportional to 375.44, 563.08 and 253.76 is: 380.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.44 : 563.08 = 253.76 : x
  2. Step 2: Convert to fraction form
    375.44/563.08 = 253.76/x
  3. Step 3: Cross multiply
    375.44x = 563.08 × 253.76
  4. Step 4: Simplify right side
    375.44x = 142,887.18
  5. Step 5: Solve for x
    x = 142,887.18/375.44
  6. Step 6: Final answer
    x = 380.59

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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.