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Finding the Fourth Proportional to 411.21, 567.49 and 261.86

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Solution

The fourth proportional to 411.21, 567.49 and 261.86 is: 361.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.21 : 567.49 = 261.86 : x
  2. Step 2: Convert to fraction form
    411.21/567.49 = 261.86/x
  3. Step 3: Cross multiply
    411.21x = 567.49 × 261.86
  4. Step 4: Simplify right side
    411.21x = 148,602.93
  5. Step 5: Solve for x
    x = 148,602.93/411.21
  6. Step 6: Final answer
    x = 361.38

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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.