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Finding the Fourth Proportional to 270.56, 405.76 and 209.76

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Solution

The fourth proportional to 270.56, 405.76 and 209.76 is: 314.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.56 : 405.76 = 209.76 : x
  2. Step 2: Convert to fraction form
    270.56/405.76 = 209.76/x
  3. Step 3: Cross multiply
    270.56x = 405.76 × 209.76
  4. Step 4: Simplify right side
    270.56x = 85,112.22
  5. Step 5: Solve for x
    x = 85,112.22/270.56
  6. Step 6: Final answer
    x = 314.58

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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.