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Finding the Fourth Proportional to 820.30, 1,230.33 and 272.47

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Solution

The fourth proportional to 820.30, 1,230.33 and 272.47 is: 408.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.30 : 1,230.33 = 272.47 : x
  2. Step 2: Convert to fraction form
    820.30/1,230.33 = 272.47/x
  3. Step 3: Cross multiply
    820.30x = 1,230.33 × 272.47
  4. Step 4: Simplify right side
    820.30x = 335,228.02
  5. Step 5: Solve for x
    x = 335,228.02/820.30
  6. Step 6: Final answer
    x = 408.67

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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.