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Finding the Fourth Proportional to 544.42, 815.57 and 361.87

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Solution

The fourth proportional to 544.42, 815.57 and 361.87 is: 542.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.42 : 815.57 = 361.87 : x
  2. Step 2: Convert to fraction form
    544.42/815.57 = 361.87/x
  3. Step 3: Cross multiply
    544.42x = 815.57 × 361.87
  4. Step 4: Simplify right side
    544.42x = 295,127.82
  5. Step 5: Solve for x
    x = 295,127.82/544.42
  6. Step 6: Final answer
    x = 542.09

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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.