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Finding the Fourth Proportional to 321.13, 444.75 and 297.43

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Solution

The fourth proportional to 321.13, 444.75 and 297.43 is: 411.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.13 : 444.75 = 297.43 : x
  2. Step 2: Convert to fraction form
    321.13/444.75 = 297.43/x
  3. Step 3: Cross multiply
    321.13x = 444.75 × 297.43
  4. Step 4: Simplify right side
    321.13x = 132,281.99
  5. Step 5: Solve for x
    x = 132,281.99/321.13
  6. Step 6: Final answer
    x = 411.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.