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Finding the Fourth Proportional to 270.55, 406.20 and 215.74

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Solution

The fourth proportional to 270.55, 406.20 and 215.74 is: 323.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.55 : 406.20 = 215.74 : x
  2. Step 2: Convert to fraction form
    270.55/406.20 = 215.74/x
  3. Step 3: Cross multiply
    270.55x = 406.20 × 215.74
  4. Step 4: Simplify right side
    270.55x = 87,633.59
  5. Step 5: Solve for x
    x = 87,633.59/270.55
  6. Step 6: Final answer
    x = 323.91

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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.