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Finding the Fourth Proportional to 441.86, 609.27 and 317.12

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Solution

The fourth proportional to 441.86, 609.27 and 317.12 is: 437.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.86 : 609.27 = 317.12 : x
  2. Step 2: Convert to fraction form
    441.86/609.27 = 317.12/x
  3. Step 3: Cross multiply
    441.86x = 609.27 × 317.12
  4. Step 4: Simplify right side
    441.86x = 193,212.04
  5. Step 5: Solve for x
    x = 193,212.04/441.86
  6. Step 6: Final answer
    x = 437.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.