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Finding the Fourth Proportional to 270.29, 405.43 and 179.39

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Solution

The fourth proportional to 270.29, 405.43 and 179.39 is: 269.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.29 : 405.43 = 179.39 : x
  2. Step 2: Convert to fraction form
    270.29/405.43 = 179.39/x
  3. Step 3: Cross multiply
    270.29x = 405.43 × 179.39
  4. Step 4: Simplify right side
    270.29x = 72,730.09
  5. Step 5: Solve for x
    x = 72,730.09/270.29
  6. Step 6: Final answer
    x = 269.08

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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.