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Finding the Fourth Proportional to 280.94, 420.88 and 171.29

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Solution

The fourth proportional to 280.94, 420.88 and 171.29 is: 256.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.94 : 420.88 = 171.29 : x
  2. Step 2: Convert to fraction form
    280.94/420.88 = 171.29/x
  3. Step 3: Cross multiply
    280.94x = 420.88 × 171.29
  4. Step 4: Simplify right side
    280.94x = 72,092.54
  5. Step 5: Solve for x
    x = 72,092.54/280.94
  6. Step 6: Final answer
    x = 256.61

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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.