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Finding the Fourth Proportional to 544.56, 816.72 and 159.72

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Solution

The fourth proportional to 544.56, 816.72 and 159.72 is: 239.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.56 : 816.72 = 159.72 : x
  2. Step 2: Convert to fraction form
    544.56/816.72 = 159.72/x
  3. Step 3: Cross multiply
    544.56x = 816.72 × 159.72
  4. Step 4: Simplify right side
    544.56x = 130,446.52
  5. Step 5: Solve for x
    x = 130,446.52/544.56
  6. Step 6: Final answer
    x = 239.54

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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.