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Finding the Fourth Proportional to 162.18, 223.31 and 137.18

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Solution

The fourth proportional to 162.18, 223.31 and 137.18 is: 188.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.18 : 223.31 = 137.18 : x
  2. Step 2: Convert to fraction form
    162.18/223.31 = 137.18/x
  3. Step 3: Cross multiply
    162.18x = 223.31 × 137.18
  4. Step 4: Simplify right side
    162.18x = 30,634.57
  5. Step 5: Solve for x
    x = 30,634.57/162.18
  6. Step 6: Final answer
    x = 188.89

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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.