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Finding the Fourth Proportional to 375.26, 563.31 and 283.19

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Solution

The fourth proportional to 375.26, 563.31 and 283.19 is: 425.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.26 : 563.31 = 283.19 : x
  2. Step 2: Convert to fraction form
    375.26/563.31 = 283.19/x
  3. Step 3: Cross multiply
    375.26x = 563.31 × 283.19
  4. Step 4: Simplify right side
    375.26x = 159,520.94
  5. Step 5: Solve for x
    x = 159,520.94/375.26
  6. Step 6: Final answer
    x = 425.10

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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.