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Finding the Fourth Proportional to 436.21, 654.11 and 253.66

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Solution

The fourth proportional to 436.21, 654.11 and 253.66 is: 380.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.21 : 654.11 = 253.66 : x
  2. Step 2: Convert to fraction form
    436.21/654.11 = 253.66/x
  3. Step 3: Cross multiply
    436.21x = 654.11 × 253.66
  4. Step 4: Simplify right side
    436.21x = 165,920.27
  5. Step 5: Solve for x
    x = 165,920.27/436.21
  6. Step 6: Final answer
    x = 380.37

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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.