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Finding the Fourth Proportional to 448.13, 671.97 and 217.05

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Solution

The fourth proportional to 448.13, 671.97 and 217.05 is: 325.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.13 : 671.97 = 217.05 : x
  2. Step 2: Convert to fraction form
    448.13/671.97 = 217.05/x
  3. Step 3: Cross multiply
    448.13x = 671.97 × 217.05
  4. Step 4: Simplify right side
    448.13x = 145,854.44
  5. Step 5: Solve for x
    x = 145,854.44/448.13
  6. Step 6: Final answer
    x = 325.47

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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.