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Finding the Fourth Proportional to 423.08, 635.22 and 365.90

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Solution

The fourth proportional to 423.08, 635.22 and 365.90 is: 549.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.08 : 635.22 = 365.90 : x
  2. Step 2: Convert to fraction form
    423.08/635.22 = 365.90/x
  3. Step 3: Cross multiply
    423.08x = 635.22 × 365.90
  4. Step 4: Simplify right side
    423.08x = 232,427.00
  5. Step 5: Solve for x
    x = 232,427.00/423.08
  6. Step 6: Final answer
    x = 549.37

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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.