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Finding the Fourth Proportional to 544.02, 816.15 and 178.80

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Solution

The fourth proportional to 544.02, 816.15 and 178.80 is: 268.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.02 : 816.15 = 178.80 : x
  2. Step 2: Convert to fraction form
    544.02/816.15 = 178.80/x
  3. Step 3: Cross multiply
    544.02x = 816.15 × 178.80
  4. Step 4: Simplify right side
    544.02x = 145,927.62
  5. Step 5: Solve for x
    x = 145,927.62/544.02
  6. Step 6: Final answer
    x = 268.24

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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.