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Finding the Fourth Proportional to 320.10, 441.68 and 180.22

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Solution

The fourth proportional to 320.10, 441.68 and 180.22 is: 248.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.10 : 441.68 = 180.22 : x
  2. Step 2: Convert to fraction form
    320.10/441.68 = 180.22/x
  3. Step 3: Cross multiply
    320.10x = 441.68 × 180.22
  4. Step 4: Simplify right side
    320.10x = 79,599.57
  5. Step 5: Solve for x
    x = 79,599.57/320.10
  6. Step 6: Final answer
    x = 248.67

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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.