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Finding the Fourth Proportional to 272.61, 406.61 and 229.56

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Solution

The fourth proportional to 272.61, 406.61 and 229.56 is: 342.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.61 : 406.61 = 229.56 : x
  2. Step 2: Convert to fraction form
    272.61/406.61 = 229.56/x
  3. Step 3: Cross multiply
    272.61x = 406.61 × 229.56
  4. Step 4: Simplify right side
    272.61x = 93,340.24
  5. Step 5: Solve for x
    x = 93,340.24/272.61
  6. Step 6: Final answer
    x = 342.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.