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Finding the Fourth Proportional to 448.54, 672.40 and 217.29

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Solution

The fourth proportional to 448.54, 672.40 and 217.29 is: 325.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.54 : 672.40 = 217.29 : x
  2. Step 2: Convert to fraction form
    448.54/672.40 = 217.29/x
  3. Step 3: Cross multiply
    448.54x = 672.40 × 217.29
  4. Step 4: Simplify right side
    448.54x = 146,105.80
  5. Step 5: Solve for x
    x = 146,105.80/448.54
  6. Step 6: Final answer
    x = 325.74

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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.