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Finding the Fourth Proportional to 245.64, 367.87 and 213.40

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Solution

The fourth proportional to 245.64, 367.87 and 213.40 is: 319.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.64 : 367.87 = 213.40 : x
  2. Step 2: Convert to fraction form
    245.64/367.87 = 213.40/x
  3. Step 3: Cross multiply
    245.64x = 367.87 × 213.40
  4. Step 4: Simplify right side
    245.64x = 78,503.46
  5. Step 5: Solve for x
    x = 78,503.46/245.64
  6. Step 6: Final answer
    x = 319.59

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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.