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Finding the Fourth Proportional to 320.87, 481.54 and 158.67

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Solution

The fourth proportional to 320.87, 481.54 and 158.67 is: 238.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.87 : 481.54 = 158.67 : x
  2. Step 2: Convert to fraction form
    320.87/481.54 = 158.67/x
  3. Step 3: Cross multiply
    320.87x = 481.54 × 158.67
  4. Step 4: Simplify right side
    320.87x = 76,405.95
  5. Step 5: Solve for x
    x = 76,405.95/320.87
  6. Step 6: Final answer
    x = 238.12

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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.