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Finding the Fourth Proportional to 920.31, 1,380.47 and 271.05

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Solution

The fourth proportional to 920.31, 1,380.47 and 271.05 is: 406.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.31 : 1,380.47 = 271.05 : x
  2. Step 2: Convert to fraction form
    920.31/1,380.47 = 271.05/x
  3. Step 3: Cross multiply
    920.31x = 1,380.47 × 271.05
  4. Step 4: Simplify right side
    920.31x = 374,175.04
  5. Step 5: Solve for x
    x = 374,175.04/920.31
  6. Step 6: Final answer
    x = 406.58

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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.