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Finding the Fourth Proportional to 162.20, 241.79 and 157.34

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Solution

The fourth proportional to 162.20, 241.79 and 157.34 is: 234.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.20 : 241.79 = 157.34 : x
  2. Step 2: Convert to fraction form
    162.20/241.79 = 157.34/x
  3. Step 3: Cross multiply
    162.20x = 241.79 × 157.34
  4. Step 4: Simplify right side
    162.20x = 38,043.06
  5. Step 5: Solve for x
    x = 38,043.06/162.20
  6. Step 6: Final answer
    x = 234.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.