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Finding the Fourth Proportional to 280.64, 417.83 and 276.59

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Solution

The fourth proportional to 280.64, 417.83 and 276.59 is: 411.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.64 : 417.83 = 276.59 : x
  2. Step 2: Convert to fraction form
    280.64/417.83 = 276.59/x
  3. Step 3: Cross multiply
    280.64x = 417.83 × 276.59
  4. Step 4: Simplify right side
    280.64x = 115,567.60
  5. Step 5: Solve for x
    x = 115,567.60/280.64
  6. Step 6: Final answer
    x = 411.80

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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.