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Finding the Fourth Proportional to 544.64, 815.38 and 361.48

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Solution

The fourth proportional to 544.64, 815.38 and 361.48 is: 541.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.64 : 815.38 = 361.48 : x
  2. Step 2: Convert to fraction form
    544.64/815.38 = 361.48/x
  3. Step 3: Cross multiply
    544.64x = 815.38 × 361.48
  4. Step 4: Simplify right side
    544.64x = 294,743.56
  5. Step 5: Solve for x
    x = 294,743.56/544.64
  6. Step 6: Final answer
    x = 541.17

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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.