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Finding the Fourth Proportional to 821.49, 1,231.92 and 301.40

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Solution

The fourth proportional to 821.49, 1,231.92 and 301.40 is: 451.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.49 : 1,231.92 = 301.40 : x
  2. Step 2: Convert to fraction form
    821.49/1,231.92 = 301.40/x
  3. Step 3: Cross multiply
    821.49x = 1,231.92 × 301.40
  4. Step 4: Simplify right side
    821.49x = 371,300.69
  5. Step 5: Solve for x
    x = 371,300.69/821.49
  6. Step 6: Final answer
    x = 451.98

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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.