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Finding the Fourth Proportional to 441.47, 609.14 and 286.13

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Solution

The fourth proportional to 441.47, 609.14 and 286.13 is: 394.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.47 : 609.14 = 286.13 : x
  2. Step 2: Convert to fraction form
    441.47/609.14 = 286.13/x
  3. Step 3: Cross multiply
    441.47x = 609.14 × 286.13
  4. Step 4: Simplify right side
    441.47x = 174,293.23
  5. Step 5: Solve for x
    x = 174,293.23/441.47
  6. Step 6: Final answer
    x = 394.80

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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.