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Finding the Fourth Proportional to 261.82, 361.31 and 145.38

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Solution

The fourth proportional to 261.82, 361.31 and 145.38 is: 200.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.82 : 361.31 = 145.38 : x
  2. Step 2: Convert to fraction form
    261.82/361.31 = 145.38/x
  3. Step 3: Cross multiply
    261.82x = 361.31 × 145.38
  4. Step 4: Simplify right side
    261.82x = 52,527.25
  5. Step 5: Solve for x
    x = 52,527.25/261.82
  6. Step 6: Final answer
    x = 200.62

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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.