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Finding the Fourth Proportional to 361.97, 543.26 and 156.69

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Solution

The fourth proportional to 361.97, 543.26 and 156.69 is: 235.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.97 : 543.26 = 156.69 : x
  2. Step 2: Convert to fraction form
    361.97/543.26 = 156.69/x
  3. Step 3: Cross multiply
    361.97x = 543.26 × 156.69
  4. Step 4: Simplify right side
    361.97x = 85,122.63
  5. Step 5: Solve for x
    x = 85,122.63/361.97
  6. Step 6: Final answer
    x = 235.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.