Home / 280.20-417.91-272.50

Finding the Fourth Proportional to 280.20, 417.91 and 272.50

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Solution

The fourth proportional to 280.20, 417.91 and 272.50 is: 406.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.20 : 417.91 = 272.50 : x
  2. Step 2: Convert to fraction form
    280.20/417.91 = 272.50/x
  3. Step 3: Cross multiply
    280.20x = 417.91 × 272.50
  4. Step 4: Simplify right side
    280.20x = 113,880.48
  5. Step 5: Solve for x
    x = 113,880.48/280.20
  6. Step 6: Final answer
    x = 406.43

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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.