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Finding the Fourth Proportional to 176.11, 243.27 and 126.90

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Solution

The fourth proportional to 176.11, 243.27 and 126.90 is: 175.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.11 : 243.27 = 126.90 : x
  2. Step 2: Convert to fraction form
    176.11/243.27 = 126.90/x
  3. Step 3: Cross multiply
    176.11x = 243.27 × 126.90
  4. Step 4: Simplify right side
    176.11x = 30,870.96
  5. Step 5: Solve for x
    x = 30,870.96/176.11
  6. Step 6: Final answer
    x = 175.30

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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.