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Finding the Fourth Proportional to 253.50, 378.44 and 214.72

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Solution

The fourth proportional to 253.50, 378.44 and 214.72 is: 320.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.50 : 378.44 = 214.72 : x
  2. Step 2: Convert to fraction form
    253.50/378.44 = 214.72/x
  3. Step 3: Cross multiply
    253.50x = 378.44 × 214.72
  4. Step 4: Simplify right side
    253.50x = 81,257.56
  5. Step 5: Solve for x
    x = 81,257.56/253.50
  6. Step 6: Final answer
    x = 320.54

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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.