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Finding the Fourth Proportional to 397.76, 549.78 and 350.80

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Solution

The fourth proportional to 397.76, 549.78 and 350.80 is: 484.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.76 : 549.78 = 350.80 : x
  2. Step 2: Convert to fraction form
    397.76/549.78 = 350.80/x
  3. Step 3: Cross multiply
    397.76x = 549.78 × 350.80
  4. Step 4: Simplify right side
    397.76x = 192,862.82
  5. Step 5: Solve for x
    x = 192,862.82/397.76
  6. Step 6: Final answer
    x = 484.87

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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.