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Finding the Fourth Proportional to 398.86, 549.85 and 274.33

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Solution

The fourth proportional to 398.86, 549.85 and 274.33 is: 378.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.86 : 549.85 = 274.33 : x
  2. Step 2: Convert to fraction form
    398.86/549.85 = 274.33/x
  3. Step 3: Cross multiply
    398.86x = 549.85 × 274.33
  4. Step 4: Simplify right side
    398.86x = 150,840.35
  5. Step 5: Solve for x
    x = 150,840.35/398.86
  6. Step 6: Final answer
    x = 378.18

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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.