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Finding the Fourth Proportional to 317.38, 441.01 and 314.01

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Solution

The fourth proportional to 317.38, 441.01 and 314.01 is: 436.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.38 : 441.01 = 314.01 : x
  2. Step 2: Convert to fraction form
    317.38/441.01 = 314.01/x
  3. Step 3: Cross multiply
    317.38x = 441.01 × 314.01
  4. Step 4: Simplify right side
    317.38x = 138,481.55
  5. Step 5: Solve for x
    x = 138,481.55/317.38
  6. Step 6: Final answer
    x = 436.33

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.