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Finding the Fourth Proportional to 317.43, 436.26 and 282.27

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Solution

The fourth proportional to 317.43, 436.26 and 282.27 is: 387.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.43 : 436.26 = 282.27 : x
  2. Step 2: Convert to fraction form
    317.43/436.26 = 282.27/x
  3. Step 3: Cross multiply
    317.43x = 436.26 × 282.27
  4. Step 4: Simplify right side
    317.43x = 123,143.11
  5. Step 5: Solve for x
    x = 123,143.11/317.43
  6. Step 6: Final answer
    x = 387.94

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.