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Finding the Fourth Proportional to 261.63, 361.06 and 196.02

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Solution

The fourth proportional to 261.63, 361.06 and 196.02 is: 270.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.63 : 361.06 = 196.02 : x
  2. Step 2: Convert to fraction form
    261.63/361.06 = 196.02/x
  3. Step 3: Cross multiply
    261.63x = 361.06 × 196.02
  4. Step 4: Simplify right side
    261.63x = 70,774.49
  5. Step 5: Solve for x
    x = 70,774.49/261.63
  6. Step 6: Final answer
    x = 270.51

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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.