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Finding the Fourth Proportional to 270.89, 406.67 and 230.56

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Solution

The fourth proportional to 270.89, 406.67 and 230.56 is: 346.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.89 : 406.67 = 230.56 : x
  2. Step 2: Convert to fraction form
    270.89/406.67 = 230.56/x
  3. Step 3: Cross multiply
    270.89x = 406.67 × 230.56
  4. Step 4: Simplify right side
    270.89x = 93,761.84
  5. Step 5: Solve for x
    x = 93,761.84/270.89
  6. Step 6: Final answer
    x = 346.13

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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.