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Finding the Fourth Proportional to 411.20, 566.81 and 263.58

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Solution

The fourth proportional to 411.20, 566.81 and 263.58 is: 363.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.20 : 566.81 = 263.58 : x
  2. Step 2: Convert to fraction form
    411.20/566.81 = 263.58/x
  3. Step 3: Cross multiply
    411.20x = 566.81 × 263.58
  4. Step 4: Simplify right side
    411.20x = 149,399.45
  5. Step 5: Solve for x
    x = 149,399.45/411.20
  6. Step 6: Final answer
    x = 363.32

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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.