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Finding the Fourth Proportional to 544.37, 816.30 and 197.66

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Solution

The fourth proportional to 544.37, 816.30 and 197.66 is: 296.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.37 : 816.30 = 197.66 : x
  2. Step 2: Convert to fraction form
    544.37/816.30 = 197.66/x
  3. Step 3: Cross multiply
    544.37x = 816.30 × 197.66
  4. Step 4: Simplify right side
    544.37x = 161,345.78
  5. Step 5: Solve for x
    x = 161,345.78/544.37
  6. Step 6: Final answer
    x = 296.39

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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.