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Finding the Fourth Proportional to 421.91, 582.08 and 255.83

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Solution

The fourth proportional to 421.91, 582.08 and 255.83 is: 352.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.91 : 582.08 = 255.83 : x
  2. Step 2: Convert to fraction form
    421.91/582.08 = 255.83/x
  3. Step 3: Cross multiply
    421.91x = 582.08 × 255.83
  4. Step 4: Simplify right side
    421.91x = 148,915.62
  5. Step 5: Solve for x
    x = 148,915.62/421.91
  6. Step 6: Final answer
    x = 352.96

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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.