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Finding the Fourth Proportional to 448.24, 672.06 and 216.67

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Solution

The fourth proportional to 448.24, 672.06 and 216.67 is: 324.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.24 : 672.06 = 216.67 : x
  2. Step 2: Convert to fraction form
    448.24/672.06 = 216.67/x
  3. Step 3: Cross multiply
    448.24x = 672.06 × 216.67
  4. Step 4: Simplify right side
    448.24x = 145,615.24
  5. Step 5: Solve for x
    x = 145,615.24/448.24
  6. Step 6: Final answer
    x = 324.86

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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.