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Finding the Fourth Proportional to 213.01, 294.14 and 134.46

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Solution

The fourth proportional to 213.01, 294.14 and 134.46 is: 185.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.01 : 294.14 = 134.46 : x
  2. Step 2: Convert to fraction form
    213.01/294.14 = 134.46/x
  3. Step 3: Cross multiply
    213.01x = 294.14 × 134.46
  4. Step 4: Simplify right side
    213.01x = 39,549.39
  5. Step 5: Solve for x
    x = 39,549.39/213.01
  6. Step 6: Final answer
    x = 185.67

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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.