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Finding the Fourth Proportional to 411.22, 567.51 and 263.80

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Solution

The fourth proportional to 411.22, 567.51 and 263.80 is: 364.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.22 : 567.51 = 263.80 : x
  2. Step 2: Convert to fraction form
    411.22/567.51 = 263.80/x
  3. Step 3: Cross multiply
    411.22x = 567.51 × 263.80
  4. Step 4: Simplify right side
    411.22x = 149,709.14
  5. Step 5: Solve for x
    x = 149,709.14/411.22
  6. Step 6: Final answer
    x = 364.06

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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.