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Finding the Fourth Proportional to 436.88, 655.17 and 144.31

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Solution

The fourth proportional to 436.88, 655.17 and 144.31 is: 216.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.88 : 655.17 = 144.31 : x
  2. Step 2: Convert to fraction form
    436.88/655.17 = 144.31/x
  3. Step 3: Cross multiply
    436.88x = 655.17 × 144.31
  4. Step 4: Simplify right side
    436.88x = 94,546.31
  5. Step 5: Solve for x
    x = 94,546.31/436.88
  6. Step 6: Final answer
    x = 216.42

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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.