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Finding the Fourth Proportional to 261.89, 361.38 and 145.43

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Solution

The fourth proportional to 261.89, 361.38 and 145.43 is: 200.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.89 : 361.38 = 145.43 : x
  2. Step 2: Convert to fraction form
    261.89/361.38 = 145.43/x
  3. Step 3: Cross multiply
    261.89x = 361.38 × 145.43
  4. Step 4: Simplify right side
    261.89x = 52,555.49
  5. Step 5: Solve for x
    x = 52,555.49/261.89
  6. Step 6: Final answer
    x = 200.68

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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.