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Finding the Fourth Proportional to 361.19, 540.96 and 253.46

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Solution

The fourth proportional to 361.19, 540.96 and 253.46 is: 379.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.19 : 540.96 = 253.46 : x
  2. Step 2: Convert to fraction form
    361.19/540.96 = 253.46/x
  3. Step 3: Cross multiply
    361.19x = 540.96 × 253.46
  4. Step 4: Simplify right side
    361.19x = 137,109.02
  5. Step 5: Solve for x
    x = 137,109.02/361.19
  6. Step 6: Final answer
    x = 379.61

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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.