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Finding the Fourth Proportional to 161.20, 241.80 and 100.45

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Solution

The fourth proportional to 161.20, 241.80 and 100.45 is: 150.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.20 : 241.80 = 100.45 : x
  2. Step 2: Convert to fraction form
    161.20/241.80 = 100.45/x
  3. Step 3: Cross multiply
    161.20x = 241.80 × 100.45
  4. Step 4: Simplify right side
    161.20x = 24,288.81
  5. Step 5: Solve for x
    x = 24,288.81/161.20
  6. Step 6: Final answer
    x = 150.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.