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Finding the Fourth Proportional to 270.21, 372.92 and 153.75

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Solution

The fourth proportional to 270.21, 372.92 and 153.75 is: 212.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.21 : 372.92 = 153.75 : x
  2. Step 2: Convert to fraction form
    270.21/372.92 = 153.75/x
  3. Step 3: Cross multiply
    270.21x = 372.92 × 153.75
  4. Step 4: Simplify right side
    270.21x = 57,335.68
  5. Step 5: Solve for x
    x = 57,335.68/270.21
  6. Step 6: Final answer
    x = 212.19

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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.