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Finding the Fourth Proportional to 162.05, 223.49 and 136.13

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Solution

The fourth proportional to 162.05, 223.49 and 136.13 is: 187.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.05 : 223.49 = 136.13 : x
  2. Step 2: Convert to fraction form
    162.05/223.49 = 136.13/x
  3. Step 3: Cross multiply
    162.05x = 223.49 × 136.13
  4. Step 4: Simplify right side
    162.05x = 30,422.92
  5. Step 5: Solve for x
    x = 30,422.92/162.05
  6. Step 6: Final answer
    x = 187.74

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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.