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Finding the Fourth Proportional to 341.28, 511.92 and 280.80

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Solution

The fourth proportional to 341.28, 511.92 and 280.80 is: 421.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.28 : 511.92 = 280.80 : x
  2. Step 2: Convert to fraction form
    341.28/511.92 = 280.80/x
  3. Step 3: Cross multiply
    341.28x = 511.92 × 280.80
  4. Step 4: Simplify right side
    341.28x = 143,747.14
  5. Step 5: Solve for x
    x = 143,747.14/341.28
  6. Step 6: Final answer
    x = 421.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.