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Finding the Fourth Proportional to 448.75, 672.36 and 217.75

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Solution

The fourth proportional to 448.75, 672.36 and 217.75 is: 326.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.75 : 672.36 = 217.75 : x
  2. Step 2: Convert to fraction form
    448.75/672.36 = 217.75/x
  3. Step 3: Cross multiply
    448.75x = 672.36 × 217.75
  4. Step 4: Simplify right side
    448.75x = 146,401.94
  5. Step 5: Solve for x
    x = 146,401.94/448.75
  6. Step 6: Final answer
    x = 326.25

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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.