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Finding the Fourth Proportional to 397.82, 549.03 and 220.80

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Solution

The fourth proportional to 397.82, 549.03 and 220.80 is: 304.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.82 : 549.03 = 220.80 : x
  2. Step 2: Convert to fraction form
    397.82/549.03 = 220.80/x
  3. Step 3: Cross multiply
    397.82x = 549.03 × 220.80
  4. Step 4: Simplify right side
    397.82x = 121,225.82
  5. Step 5: Solve for x
    x = 121,225.82/397.82
  6. Step 6: Final answer
    x = 304.73

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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.