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Finding the Fourth Proportional to 280.14, 417.36 and 272.77

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Solution

The fourth proportional to 280.14, 417.36 and 272.77 is: 406.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.14 : 417.36 = 272.77 : x
  2. Step 2: Convert to fraction form
    280.14/417.36 = 272.77/x
  3. Step 3: Cross multiply
    280.14x = 417.36 × 272.77
  4. Step 4: Simplify right side
    280.14x = 113,843.29
  5. Step 5: Solve for x
    x = 113,843.29/280.14
  6. Step 6: Final answer
    x = 406.38

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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.