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Finding the Fourth Proportional to 162.19, 223.72 and 129.43

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Solution

The fourth proportional to 162.19, 223.72 and 129.43 is: 178.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.19 : 223.72 = 129.43 : x
  2. Step 2: Convert to fraction form
    162.19/223.72 = 129.43/x
  3. Step 3: Cross multiply
    162.19x = 223.72 × 129.43
  4. Step 4: Simplify right side
    162.19x = 28,956.08
  5. Step 5: Solve for x
    x = 28,956.08/162.19
  6. Step 6: Final answer
    x = 178.53

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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.