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Finding the Fourth Proportional to 283.49, 421.92 and 280.34

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Solution

The fourth proportional to 283.49, 421.92 and 280.34 is: 417.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.49 : 421.92 = 280.34 : x
  2. Step 2: Convert to fraction form
    283.49/421.92 = 280.34/x
  3. Step 3: Cross multiply
    283.49x = 421.92 × 280.34
  4. Step 4: Simplify right side
    283.49x = 118,278.94
  5. Step 5: Solve for x
    x = 118,278.94/283.49
  6. Step 6: Final answer
    x = 417.23

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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.