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Finding the Fourth Proportional to 162.56, 224.43 and 138.26

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Solution

The fourth proportional to 162.56, 224.43 and 138.26 is: 190.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.56 : 224.43 = 138.26 : x
  2. Step 2: Convert to fraction form
    162.56/224.43 = 138.26/x
  3. Step 3: Cross multiply
    162.56x = 224.43 × 138.26
  4. Step 4: Simplify right side
    162.56x = 31,029.69
  5. Step 5: Solve for x
    x = 31,029.69/162.56
  6. Step 6: Final answer
    x = 190.88

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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.