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Finding the Fourth Proportional to 253.45, 378.53 and 212.86

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Solution

The fourth proportional to 253.45, 378.53 and 212.86 is: 317.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.45 : 378.53 = 212.86 : x
  2. Step 2: Convert to fraction form
    253.45/378.53 = 212.86/x
  3. Step 3: Cross multiply
    253.45x = 378.53 × 212.86
  4. Step 4: Simplify right side
    253.45x = 80,573.90
  5. Step 5: Solve for x
    x = 80,573.90/253.45
  6. Step 6: Final answer
    x = 317.91

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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.