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Finding the Fourth Proportional to 253.35, 380.57 and 212.85

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Solution

The fourth proportional to 253.35, 380.57 and 212.85 is: 319.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.35 : 380.57 = 212.85 : x
  2. Step 2: Convert to fraction form
    253.35/380.57 = 212.85/x
  3. Step 3: Cross multiply
    253.35x = 380.57 × 212.85
  4. Step 4: Simplify right side
    253.35x = 81,003.26
  5. Step 5: Solve for x
    x = 81,003.26/253.35
  6. Step 6: Final answer
    x = 319.73

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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.