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Finding the Fourth Proportional to 448.99, 673.19 and 217.42

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Solution

The fourth proportional to 448.99, 673.19 and 217.42 is: 325.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.99 : 673.19 = 217.42 : x
  2. Step 2: Convert to fraction form
    448.99/673.19 = 217.42/x
  3. Step 3: Cross multiply
    448.99x = 673.19 × 217.42
  4. Step 4: Simplify right side
    448.99x = 146,364.97
  5. Step 5: Solve for x
    x = 146,364.97/448.99
  6. Step 6: Final answer
    x = 325.99

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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.