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Finding the Fourth Proportional to 372.08, 513.23 and 322.85

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Solution

The fourth proportional to 372.08, 513.23 and 322.85 is: 445.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.08 : 513.23 = 322.85 : x
  2. Step 2: Convert to fraction form
    372.08/513.23 = 322.85/x
  3. Step 3: Cross multiply
    372.08x = 513.23 × 322.85
  4. Step 4: Simplify right side
    372.08x = 165,692.13
  5. Step 5: Solve for x
    x = 165,692.13/372.08
  6. Step 6: Final answer
    x = 445.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.