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Finding the Fourth Proportional to 326.10, 488.89 and 161.45

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Solution

The fourth proportional to 326.10, 488.89 and 161.45 is: 242.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.10 : 488.89 = 161.45 : x
  2. Step 2: Convert to fraction form
    326.10/488.89 = 161.45/x
  3. Step 3: Cross multiply
    326.10x = 488.89 × 161.45
  4. Step 4: Simplify right side
    326.10x = 78,932.03
  5. Step 5: Solve for x
    x = 78,932.03/326.10
  6. Step 6: Final answer
    x = 242.05

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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.