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Finding the Fourth Proportional to 216.78, 301.23 and 214.56

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Solution

The fourth proportional to 216.78, 301.23 and 214.56 is: 298.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.78 : 301.23 = 214.56 : x
  2. Step 2: Convert to fraction form
    216.78/301.23 = 214.56/x
  3. Step 3: Cross multiply
    216.78x = 301.23 × 214.56
  4. Step 4: Simplify right side
    216.78x = 64,631.91
  5. Step 5: Solve for x
    x = 64,631.91/216.78
  6. Step 6: Final answer
    x = 298.15

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.