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Finding the Fourth Proportional to 280.64, 423.26 and 250.52

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Solution

The fourth proportional to 280.64, 423.26 and 250.52 is: 377.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.64 : 423.26 = 250.52 : x
  2. Step 2: Convert to fraction form
    280.64/423.26 = 250.52/x
  3. Step 3: Cross multiply
    280.64x = 423.26 × 250.52
  4. Step 4: Simplify right side
    280.64x = 106,035.10
  5. Step 5: Solve for x
    x = 106,035.10/280.64
  6. Step 6: Final answer
    x = 377.83

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.