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Finding the Fourth Proportional to 299.75, 448.25 and 217.76

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Solution

The fourth proportional to 299.75, 448.25 and 217.76 is: 325.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.75 : 448.25 = 217.76 : x
  2. Step 2: Convert to fraction form
    299.75/448.25 = 217.76/x
  3. Step 3: Cross multiply
    299.75x = 448.25 × 217.76
  4. Step 4: Simplify right side
    299.75x = 97,607.59
  5. Step 5: Solve for x
    x = 97,607.59/299.75
  6. Step 6: Final answer
    x = 325.64

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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.