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Finding the Fourth Proportional to 249.50, 345.21 and 214.49

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Solution

The fourth proportional to 249.50, 345.21 and 214.49 is: 296.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.50 : 345.21 = 214.49 : x
  2. Step 2: Convert to fraction form
    249.50/345.21 = 214.49/x
  3. Step 3: Cross multiply
    249.50x = 345.21 × 214.49
  4. Step 4: Simplify right side
    249.50x = 74,044.09
  5. Step 5: Solve for x
    x = 74,044.09/249.50
  6. Step 6: Final answer
    x = 296.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.