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Finding the Fourth Proportional to 253.72, 379 and 212.71

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Solution

The fourth proportional to 253.72, 379 and 212.71 is: 317.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.72 : 379 = 212.71 : x
  2. Step 2: Convert to fraction form
    253.72/379 = 212.71/x
  3. Step 3: Cross multiply
    253.72x = 379 × 212.71
  4. Step 4: Simplify right side
    253.72x = 80,617.09
  5. Step 5: Solve for x
    x = 80,617.09/253.72
  6. Step 6: Final answer
    x = 317.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.