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Finding the Fourth Proportional to 451.12, 677 and 280.24

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Solution

The fourth proportional to 451.12, 677 and 280.24 is: 420.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.12 : 677 = 280.24 : x
  2. Step 2: Convert to fraction form
    451.12/677 = 280.24/x
  3. Step 3: Cross multiply
    451.12x = 677 × 280.24
  4. Step 4: Simplify right side
    451.12x = 189,722.48
  5. Step 5: Solve for x
    x = 189,722.48/451.12
  6. Step 6: Final answer
    x = 420.56

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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.