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Finding the Fourth Proportional to 213.41, 321.69 and 177.57

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Solution

The fourth proportional to 213.41, 321.69 and 177.57 is: 267.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.41 : 321.69 = 177.57 : x
  2. Step 2: Convert to fraction form
    213.41/321.69 = 177.57/x
  3. Step 3: Cross multiply
    213.41x = 321.69 × 177.57
  4. Step 4: Simplify right side
    213.41x = 57,122.49
  5. Step 5: Solve for x
    x = 57,122.49/213.41
  6. Step 6: Final answer
    x = 267.67

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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.