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Finding the Fourth Proportional to 251.84, 378.30 and 215.48

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Solution

The fourth proportional to 251.84, 378.30 and 215.48 is: 323.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.84 : 378.30 = 215.48 : x
  2. Step 2: Convert to fraction form
    251.84/378.30 = 215.48/x
  3. Step 3: Cross multiply
    251.84x = 378.30 × 215.48
  4. Step 4: Simplify right side
    251.84x = 81,516.08
  5. Step 5: Solve for x
    x = 81,516.08/251.84
  6. Step 6: Final answer
    x = 323.68

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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.