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Finding the Fourth Proportional to 449.02, 672.94 and 217.45

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Solution

The fourth proportional to 449.02, 672.94 and 217.45 is: 325.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.02 : 672.94 = 217.45 : x
  2. Step 2: Convert to fraction form
    449.02/672.94 = 217.45/x
  3. Step 3: Cross multiply
    449.02x = 672.94 × 217.45
  4. Step 4: Simplify right side
    449.02x = 146,330.69
  5. Step 5: Solve for x
    x = 146,330.69/449.02
  6. Step 6: Final answer
    x = 325.89

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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.