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Finding the Fourth Proportional to 261.84, 361.81 and 249.18

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Solution

The fourth proportional to 261.84, 361.81 and 249.18 is: 344.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.84 : 361.81 = 249.18 : x
  2. Step 2: Convert to fraction form
    261.84/361.81 = 249.18/x
  3. Step 3: Cross multiply
    261.84x = 361.81 × 249.18
  4. Step 4: Simplify right side
    261.84x = 90,155.82
  5. Step 5: Solve for x
    x = 90,155.82/261.84
  6. Step 6: Final answer
    x = 344.32

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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.