Home / 820.03-1,230.23-272.20

Finding the Fourth Proportional to 820.03, 1,230.23 and 272.20

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Solution

The fourth proportional to 820.03, 1,230.23 and 272.20 is: 408.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.03 : 1,230.23 = 272.20 : x
  2. Step 2: Convert to fraction form
    820.03/1,230.23 = 272.20/x
  3. Step 3: Cross multiply
    820.03x = 1,230.23 × 272.20
  4. Step 4: Simplify right side
    820.03x = 334,868.61
  5. Step 5: Solve for x
    x = 334,868.61/820.03
  6. Step 6: Final answer
    x = 408.36

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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.