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Finding the Fourth Proportional to 279.35, 419.93 and 171.82

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Solution

The fourth proportional to 279.35, 419.93 and 171.82 is: 258.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.35 : 419.93 = 171.82 : x
  2. Step 2: Convert to fraction form
    279.35/419.93 = 171.82/x
  3. Step 3: Cross multiply
    279.35x = 419.93 × 171.82
  4. Step 4: Simplify right side
    279.35x = 72,149.41
  5. Step 5: Solve for x
    x = 72,149.41/279.35
  6. Step 6: Final answer
    x = 258.28

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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.