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Finding the Fourth Proportional to 426.74, 588.58 and 321.85

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Solution

The fourth proportional to 426.74, 588.58 and 321.85 is: 443.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.74 : 588.58 = 321.85 : x
  2. Step 2: Convert to fraction form
    426.74/588.58 = 321.85/x
  3. Step 3: Cross multiply
    426.74x = 588.58 × 321.85
  4. Step 4: Simplify right side
    426.74x = 189,433.20
  5. Step 5: Solve for x
    x = 189,433.20/426.74
  6. Step 6: Final answer
    x = 443.90

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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.