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Finding the Fourth Proportional to 544.86, 815.67 and 361.80

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Solution

The fourth proportional to 544.86, 815.67 and 361.80 is: 541.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.86 : 815.67 = 361.80 : x
  2. Step 2: Convert to fraction form
    544.86/815.67 = 361.80/x
  3. Step 3: Cross multiply
    544.86x = 815.67 × 361.80
  4. Step 4: Simplify right side
    544.86x = 295,109.41
  5. Step 5: Solve for x
    x = 295,109.41/544.86
  6. Step 6: Final answer
    x = 541.62

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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.