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Finding the Fourth Proportional to 253.84, 349.99 and 216.49

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Solution

The fourth proportional to 253.84, 349.99 and 216.49 is: 298.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.84 : 349.99 = 216.49 : x
  2. Step 2: Convert to fraction form
    253.84/349.99 = 216.49/x
  3. Step 3: Cross multiply
    253.84x = 349.99 × 216.49
  4. Step 4: Simplify right side
    253.84x = 75,769.34
  5. Step 5: Solve for x
    x = 75,769.34/253.84
  6. Step 6: Final answer
    x = 298.49

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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.