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Finding the Fourth Proportional to 549.70, 758.64 and 353.14

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Solution

The fourth proportional to 549.70, 758.64 and 353.14 is: 487.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.70 : 758.64 = 353.14 : x
  2. Step 2: Convert to fraction form
    549.70/758.64 = 353.14/x
  3. Step 3: Cross multiply
    549.70x = 758.64 × 353.14
  4. Step 4: Simplify right side
    549.70x = 267,906.13
  5. Step 5: Solve for x
    x = 267,906.13/549.70
  6. Step 6: Final answer
    x = 487.37

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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.