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Finding the Fourth Proportional to 321.72, 444.30 and 228.98

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Solution

The fourth proportional to 321.72, 444.30 and 228.98 is: 316.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.72 : 444.30 = 228.98 : x
  2. Step 2: Convert to fraction form
    321.72/444.30 = 228.98/x
  3. Step 3: Cross multiply
    321.72x = 444.30 × 228.98
  4. Step 4: Simplify right side
    321.72x = 101,735.81
  5. Step 5: Solve for x
    x = 101,735.81/321.72
  6. Step 6: Final answer
    x = 316.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.