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Finding the Fourth Proportional to 431.33, 645.96 and 236.03

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Solution

The fourth proportional to 431.33, 645.96 and 236.03 is: 353.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.33 : 645.96 = 236.03 : x
  2. Step 2: Convert to fraction form
    431.33/645.96 = 236.03/x
  3. Step 3: Cross multiply
    431.33x = 645.96 × 236.03
  4. Step 4: Simplify right side
    431.33x = 152,467.55
  5. Step 5: Solve for x
    x = 152,467.55/431.33
  6. Step 6: Final answer
    x = 353.49

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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.