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Finding the Fourth Proportional to 375.98, 563.56 and 253.80

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Solution

The fourth proportional to 375.98, 563.56 and 253.80 is: 380.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.98 : 563.56 = 253.80 : x
  2. Step 2: Convert to fraction form
    375.98/563.56 = 253.80/x
  3. Step 3: Cross multiply
    375.98x = 563.56 × 253.80
  4. Step 4: Simplify right side
    375.98x = 143,030.89
  5. Step 5: Solve for x
    x = 143,030.89/375.98
  6. Step 6: Final answer
    x = 380.43

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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.