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Finding the Fourth Proportional to 270.92, 406.33 and 124.63

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Solution

The fourth proportional to 270.92, 406.33 and 124.63 is: 186.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.92 : 406.33 = 124.63 : x
  2. Step 2: Convert to fraction form
    270.92/406.33 = 124.63/x
  3. Step 3: Cross multiply
    270.92x = 406.33 × 124.63
  4. Step 4: Simplify right side
    270.92x = 50,639.58
  5. Step 5: Solve for x
    x = 50,639.58/270.92
  6. Step 6: Final answer
    x = 186.92

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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.