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Finding the Fourth Proportional to 398.56, 549.58 and 274.40

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Solution

The fourth proportional to 398.56, 549.58 and 274.40 is: 378.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.56 : 549.58 = 274.40 : x
  2. Step 2: Convert to fraction form
    398.56/549.58 = 274.40/x
  3. Step 3: Cross multiply
    398.56x = 549.58 × 274.40
  4. Step 4: Simplify right side
    398.56x = 150,804.75
  5. Step 5: Solve for x
    x = 150,804.75/398.56
  6. Step 6: Final answer
    x = 378.37

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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.