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Finding the Fourth Proportional to 544.12, 816.23 and 178.93

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Solution

The fourth proportional to 544.12, 816.23 and 178.93 is: 268.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.12 : 816.23 = 178.93 : x
  2. Step 2: Convert to fraction form
    544.12/816.23 = 178.93/x
  3. Step 3: Cross multiply
    544.12x = 816.23 × 178.93
  4. Step 4: Simplify right side
    544.12x = 146,049.50
  5. Step 5: Solve for x
    x = 146,049.50/544.12
  6. Step 6: Final answer
    x = 268.42

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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.