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Finding the Fourth Proportional to 253.76, 381.06 and 206.12

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Solution

The fourth proportional to 253.76, 381.06 and 206.12 is: 309.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.76 : 381.06 = 206.12 : x
  2. Step 2: Convert to fraction form
    253.76/381.06 = 206.12/x
  3. Step 3: Cross multiply
    253.76x = 381.06 × 206.12
  4. Step 4: Simplify right side
    253.76x = 78,544.09
  5. Step 5: Solve for x
    x = 78,544.09/253.76
  6. Step 6: Final answer
    x = 309.52

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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.