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Finding the Fourth Proportional to 280.02, 419.56 and 171.59

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Solution

The fourth proportional to 280.02, 419.56 and 171.59 is: 257.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.02 : 419.56 = 171.59 : x
  2. Step 2: Convert to fraction form
    280.02/419.56 = 171.59/x
  3. Step 3: Cross multiply
    280.02x = 419.56 × 171.59
  4. Step 4: Simplify right side
    280.02x = 71,990.20
  5. Step 5: Solve for x
    x = 71,990.20/280.02
  6. Step 6: Final answer
    x = 257.09

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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.