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Finding the Fourth Proportional to 397.85, 549.02 and 220.81

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Solution

The fourth proportional to 397.85, 549.02 and 220.81 is: 304.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.85 : 549.02 = 220.81 : x
  2. Step 2: Convert to fraction form
    397.85/549.02 = 220.81/x
  3. Step 3: Cross multiply
    397.85x = 549.02 × 220.81
  4. Step 4: Simplify right side
    397.85x = 121,228.29
  5. Step 5: Solve for x
    x = 121,228.29/397.85
  6. Step 6: Final answer
    x = 304.71

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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.