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Finding the Fourth Proportional to 283.70, 421.91 and 274.59

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Solution

The fourth proportional to 283.70, 421.91 and 274.59 is: 408.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.70 : 421.91 = 274.59 : x
  2. Step 2: Convert to fraction form
    283.70/421.91 = 274.59/x
  3. Step 3: Cross multiply
    283.70x = 421.91 × 274.59
  4. Step 4: Simplify right side
    283.70x = 115,851.92
  5. Step 5: Solve for x
    x = 115,851.92/283.70
  6. Step 6: Final answer
    x = 408.36

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.