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Finding the Fourth Proportional to 375.89, 563.75 and 357.37

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Solution

The fourth proportional to 375.89, 563.75 and 357.37 is: 535.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.89 : 563.75 = 357.37 : x
  2. Step 2: Convert to fraction form
    375.89/563.75 = 357.37/x
  3. Step 3: Cross multiply
    375.89x = 563.75 × 357.37
  4. Step 4: Simplify right side
    375.89x = 201,466.82
  5. Step 5: Solve for x
    x = 201,466.82/375.89
  6. Step 6: Final answer
    x = 535.98

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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.