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Finding the Fourth Proportional to 423.63, 634.27 and 361.91

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Solution

The fourth proportional to 423.63, 634.27 and 361.91 is: 541.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.63 : 634.27 = 361.91 : x
  2. Step 2: Convert to fraction form
    423.63/634.27 = 361.91/x
  3. Step 3: Cross multiply
    423.63x = 634.27 × 361.91
  4. Step 4: Simplify right side
    423.63x = 229,548.66
  5. Step 5: Solve for x
    x = 229,548.66/423.63
  6. Step 6: Final answer
    x = 541.87

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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.