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Finding the Fourth Proportional to 270.11, 372.66 and 165.17

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Solution

The fourth proportional to 270.11, 372.66 and 165.17 is: 227.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.11 : 372.66 = 165.17 : x
  2. Step 2: Convert to fraction form
    270.11/372.66 = 165.17/x
  3. Step 3: Cross multiply
    270.11x = 372.66 × 165.17
  4. Step 4: Simplify right side
    270.11x = 61,552.25
  5. Step 5: Solve for x
    x = 61,552.25/270.11
  6. Step 6: Final answer
    x = 227.88

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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.