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Finding the Fourth Proportional to 441.57, 610.69 and 386.21

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Solution

The fourth proportional to 441.57, 610.69 and 386.21 is: 534.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.57 : 610.69 = 386.21 : x
  2. Step 2: Convert to fraction form
    441.57/610.69 = 386.21/x
  3. Step 3: Cross multiply
    441.57x = 610.69 × 386.21
  4. Step 4: Simplify right side
    441.57x = 235,855.44
  5. Step 5: Solve for x
    x = 235,855.44/441.57
  6. Step 6: Final answer
    x = 534.13

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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.