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Finding the Fourth Proportional to 544.19, 816.35 and 179.21

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Solution

The fourth proportional to 544.19, 816.35 and 179.21 is: 268.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.19 : 816.35 = 179.21 : x
  2. Step 2: Convert to fraction form
    544.19/816.35 = 179.21/x
  3. Step 3: Cross multiply
    544.19x = 816.35 × 179.21
  4. Step 4: Simplify right side
    544.19x = 146,299.23
  5. Step 5: Solve for x
    x = 146,299.23/544.19
  6. Step 6: Final answer
    x = 268.84

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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.