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Finding the Fourth Proportional to 321.98, 444.89 and 291.40

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Solution

The fourth proportional to 321.98, 444.89 and 291.40 is: 402.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.98 : 444.89 = 291.40 : x
  2. Step 2: Convert to fraction form
    321.98/444.89 = 291.40/x
  3. Step 3: Cross multiply
    321.98x = 444.89 × 291.40
  4. Step 4: Simplify right side
    321.98x = 129,640.56
  5. Step 5: Solve for x
    x = 129,640.56/321.98
  6. Step 6: Final answer
    x = 402.64

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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.