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Finding the Fourth Proportional to 162.00, 223.39 and 138.76

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Solution

The fourth proportional to 162.00, 223.39 and 138.76 is: 191.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.00 : 223.39 = 138.76 : x
  2. Step 2: Convert to fraction form
    162.00/223.39 = 138.76/x
  3. Step 3: Cross multiply
    162.00x = 223.39 × 138.76
  4. Step 4: Simplify right side
    162.00x = 30,995.79
  5. Step 5: Solve for x
    x = 30,995.79/162.00
  6. Step 6: Final answer
    x = 191.34

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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.