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Finding the Fourth Proportional to 209.34, 313.60 and 201.87

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Solution

The fourth proportional to 209.34, 313.60 and 201.87 is: 302.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.34 : 313.60 = 201.87 : x
  2. Step 2: Convert to fraction form
    209.34/313.60 = 201.87/x
  3. Step 3: Cross multiply
    209.34x = 313.60 × 201.87
  4. Step 4: Simplify right side
    209.34x = 63,306.43
  5. Step 5: Solve for x
    x = 63,306.43/209.34
  6. Step 6: Final answer
    x = 302.41

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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.