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Finding the Fourth Proportional to 270.24, 372.84 and 171.92

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Solution

The fourth proportional to 270.24, 372.84 and 171.92 is: 237.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.24 : 372.84 = 171.92 : x
  2. Step 2: Convert to fraction form
    270.24/372.84 = 171.92/x
  3. Step 3: Cross multiply
    270.24x = 372.84 × 171.92
  4. Step 4: Simplify right side
    270.24x = 64,098.94
  5. Step 5: Solve for x
    x = 64,098.94/270.24
  6. Step 6: Final answer
    x = 237.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.