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Finding the Fourth Proportional to 544.36, 816.54 and 301.40

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Solution

The fourth proportional to 544.36, 816.54 and 301.40 is: 452.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.36 : 816.54 = 301.40 : x
  2. Step 2: Convert to fraction form
    544.36/816.54 = 301.40/x
  3. Step 3: Cross multiply
    544.36x = 816.54 × 301.40
  4. Step 4: Simplify right side
    544.36x = 246,100.92
  5. Step 5: Solve for x
    x = 246,100.92/544.36
  6. Step 6: Final answer
    x = 452.09

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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.