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Finding the Fourth Proportional to 321.48, 444.41 and 288.68

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Solution

The fourth proportional to 321.48, 444.41 and 288.68 is: 399.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.48 : 444.41 = 288.68 : x
  2. Step 2: Convert to fraction form
    321.48/444.41 = 288.68/x
  3. Step 3: Cross multiply
    321.48x = 444.41 × 288.68
  4. Step 4: Simplify right side
    321.48x = 128,288.61
  5. Step 5: Solve for x
    x = 128,288.61/321.48
  6. Step 6: Final answer
    x = 399.06

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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.