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Finding the Fourth Proportional to 377.85, 564.01 and 350.03

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Solution

The fourth proportional to 377.85, 564.01 and 350.03 is: 522.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.85 : 564.01 = 350.03 : x
  2. Step 2: Convert to fraction form
    377.85/564.01 = 350.03/x
  3. Step 3: Cross multiply
    377.85x = 564.01 × 350.03
  4. Step 4: Simplify right side
    377.85x = 197,418.04
  5. Step 5: Solve for x
    x = 197,418.04/377.85
  6. Step 6: Final answer
    x = 522.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.