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Finding the Fourth Proportional to 450.39, 675.18 and 161.76

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Solution

The fourth proportional to 450.39, 675.18 and 161.76 is: 242.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.39 : 675.18 = 161.76 : x
  2. Step 2: Convert to fraction form
    450.39/675.18 = 161.76/x
  3. Step 3: Cross multiply
    450.39x = 675.18 × 161.76
  4. Step 4: Simplify right side
    450.39x = 109,217.12
  5. Step 5: Solve for x
    x = 109,217.12/450.39
  6. Step 6: Final answer
    x = 242.49

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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.