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Finding the Fourth Proportional to 828.11, 1,242.23 and 280.10

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Solution

The fourth proportional to 828.11, 1,242.23 and 280.10 is: 420.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.11 : 1,242.23 = 280.10 : x
  2. Step 2: Convert to fraction form
    828.11/1,242.23 = 280.10/x
  3. Step 3: Cross multiply
    828.11x = 1,242.23 × 280.10
  4. Step 4: Simplify right side
    828.11x = 347,950.33
  5. Step 5: Solve for x
    x = 347,950.33/828.11
  6. Step 6: Final answer
    x = 420.17

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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.