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Finding the Fourth Proportional to 421.87, 582.00 and 274.52

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Solution

The fourth proportional to 421.87, 582.00 and 274.52 is: 378.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.87 : 582.00 = 274.52 : x
  2. Step 2: Convert to fraction form
    421.87/582.00 = 274.52/x
  3. Step 3: Cross multiply
    421.87x = 582.00 × 274.52
  4. Step 4: Simplify right side
    421.87x = 159,766.70
  5. Step 5: Solve for x
    x = 159,766.70/421.87
  6. Step 6: Final answer
    x = 378.71

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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.