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Finding the Fourth Proportional to 264.10, 361.22 and 259.85

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Solution

The fourth proportional to 264.10, 361.22 and 259.85 is: 355.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.10 : 361.22 = 259.85 : x
  2. Step 2: Convert to fraction form
    264.10/361.22 = 259.85/x
  3. Step 3: Cross multiply
    264.10x = 361.22 × 259.85
  4. Step 4: Simplify right side
    264.10x = 93,863.02
  5. Step 5: Solve for x
    x = 93,863.02/264.10
  6. Step 6: Final answer
    x = 355.41

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.