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Finding the Fourth Proportional to 361.17, 541.83 and 207.18

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Solution

The fourth proportional to 361.17, 541.83 and 207.18 is: 310.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.17 : 541.83 = 207.18 : x
  2. Step 2: Convert to fraction form
    361.17/541.83 = 207.18/x
  3. Step 3: Cross multiply
    361.17x = 541.83 × 207.18
  4. Step 4: Simplify right side
    361.17x = 112,256.34
  5. Step 5: Solve for x
    x = 112,256.34/361.17
  6. Step 6: Final answer
    x = 310.81

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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.