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Finding the Fourth Proportional to 321.76, 482 and 240.67

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Solution

The fourth proportional to 321.76, 482 and 240.67 is: 360.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.76 : 482 = 240.67 : x
  2. Step 2: Convert to fraction form
    321.76/482 = 240.67/x
  3. Step 3: Cross multiply
    321.76x = 482 × 240.67
  4. Step 4: Simplify right side
    321.76x = 116,000.53
  5. Step 5: Solve for x
    x = 116,000.53/321.76
  6. Step 6: Final answer
    x = 360.52

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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.