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Finding the Fourth Proportional to 880.80, 1,321.89 and 361.18

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Solution

The fourth proportional to 880.80, 1,321.89 and 361.18 is: 542.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.80 : 1,321.89 = 361.18 : x
  2. Step 2: Convert to fraction form
    880.80/1,321.89 = 361.18/x
  3. Step 3: Cross multiply
    880.80x = 1,321.89 × 361.18
  4. Step 4: Simplify right side
    880.80x = 477,440.23
  5. Step 5: Solve for x
    x = 477,440.23/880.80
  6. Step 6: Final answer
    x = 542.05

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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.