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Finding the Fourth Proportional to 321.22, 444.06 and 288.42

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Solution

The fourth proportional to 321.22, 444.06 and 288.42 is: 398.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.22 : 444.06 = 288.42 : x
  2. Step 2: Convert to fraction form
    321.22/444.06 = 288.42/x
  3. Step 3: Cross multiply
    321.22x = 444.06 × 288.42
  4. Step 4: Simplify right side
    321.22x = 128,075.79
  5. Step 5: Solve for x
    x = 128,075.79/321.22
  6. Step 6: Final answer
    x = 398.72

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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.