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Finding the Fourth Proportional to 433.63, 650.50 and 141.03

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Solution

The fourth proportional to 433.63, 650.50 and 141.03 is: 211.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.63 : 650.50 = 141.03 : x
  2. Step 2: Convert to fraction form
    433.63/650.50 = 141.03/x
  3. Step 3: Cross multiply
    433.63x = 650.50 × 141.03
  4. Step 4: Simplify right side
    433.63x = 91,740.02
  5. Step 5: Solve for x
    x = 91,740.02/433.63
  6. Step 6: Final answer
    x = 211.56

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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.