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Finding the Fourth Proportional to 216.88, 300.54 and 214.24

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Solution

The fourth proportional to 216.88, 300.54 and 214.24 is: 296.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.88 : 300.54 = 214.24 : x
  2. Step 2: Convert to fraction form
    216.88/300.54 = 214.24/x
  3. Step 3: Cross multiply
    216.88x = 300.54 × 214.24
  4. Step 4: Simplify right side
    216.88x = 64,387.69
  5. Step 5: Solve for x
    x = 64,387.69/216.88
  6. Step 6: Final answer
    x = 296.88

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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.