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Finding the Fourth Proportional to 255.87, 385.32 and 212.94

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Solution

The fourth proportional to 255.87, 385.32 and 212.94 is: 320.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.87 : 385.32 = 212.94 : x
  2. Step 2: Convert to fraction form
    255.87/385.32 = 212.94/x
  3. Step 3: Cross multiply
    255.87x = 385.32 × 212.94
  4. Step 4: Simplify right side
    255.87x = 82,050.04
  5. Step 5: Solve for x
    x = 82,050.04/255.87
  6. Step 6: Final answer
    x = 320.67

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.