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Finding the Fourth Proportional to 280.41, 419.81 and 171.87

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Solution

The fourth proportional to 280.41, 419.81 and 171.87 is: 257.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.41 : 419.81 = 171.87 : x
  2. Step 2: Convert to fraction form
    280.41/419.81 = 171.87/x
  3. Step 3: Cross multiply
    280.41x = 419.81 × 171.87
  4. Step 4: Simplify right side
    280.41x = 72,151.89
  5. Step 5: Solve for x
    x = 72,151.89/280.41
  6. Step 6: Final answer
    x = 257.31

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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.