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Finding the Fourth Proportional to 920.47, 1,381 and 271.21

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Solution

The fourth proportional to 920.47, 1,381 and 271.21 is: 406.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.47 : 1,381 = 271.21 : x
  2. Step 2: Convert to fraction form
    920.47/1,381 = 271.21/x
  3. Step 3: Cross multiply
    920.47x = 1,381 × 271.21
  4. Step 4: Simplify right side
    920.47x = 374,541.01
  5. Step 5: Solve for x
    x = 374,541.01/920.47
  6. Step 6: Final answer
    x = 406.90

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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.