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Finding the Fourth Proportional to 460.88, 635.91 and 261.67

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Solution

The fourth proportional to 460.88, 635.91 and 261.67 is: 361.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.88 : 635.91 = 261.67 : x
  2. Step 2: Convert to fraction form
    460.88/635.91 = 261.67/x
  3. Step 3: Cross multiply
    460.88x = 635.91 × 261.67
  4. Step 4: Simplify right side
    460.88x = 166,397.92
  5. Step 5: Solve for x
    x = 166,397.92/460.88
  6. Step 6: Final answer
    x = 361.04

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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.