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Finding the Fourth Proportional to 829.30, 1,243.71 and 244.18

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Solution

The fourth proportional to 829.30, 1,243.71 and 244.18 is: 366.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.30 : 1,243.71 = 244.18 : x
  2. Step 2: Convert to fraction form
    829.30/1,243.71 = 244.18/x
  3. Step 3: Cross multiply
    829.30x = 1,243.71 × 244.18
  4. Step 4: Simplify right side
    829.30x = 303,689.11
  5. Step 5: Solve for x
    x = 303,689.11/829.30
  6. Step 6: Final answer
    x = 366.20

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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.