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Finding the Fourth Proportional to 820.34, 1,230.38 and 272.50

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Solution

The fourth proportional to 820.34, 1,230.38 and 272.50 is: 408.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.34 : 1,230.38 = 272.50 : x
  2. Step 2: Convert to fraction form
    820.34/1,230.38 = 272.50/x
  3. Step 3: Cross multiply
    820.34x = 1,230.38 × 272.50
  4. Step 4: Simplify right side
    820.34x = 335,278.55
  5. Step 5: Solve for x
    x = 335,278.55/820.34
  6. Step 6: Final answer
    x = 408.71

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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.