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Finding the Fourth Proportional to 441.77, 665.27 and 320.87

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Solution

The fourth proportional to 441.77, 665.27 and 320.87 is: 483.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.77 : 665.27 = 320.87 : x
  2. Step 2: Convert to fraction form
    441.77/665.27 = 320.87/x
  3. Step 3: Cross multiply
    441.77x = 665.27 × 320.87
  4. Step 4: Simplify right side
    441.77x = 213,460.25
  5. Step 5: Solve for x
    x = 213,460.25/441.77
  6. Step 6: Final answer
    x = 483.20

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.