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Finding the Fourth Proportional to 549.50, 757.26 and 352.67

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Solution

The fourth proportional to 549.50, 757.26 and 352.67 is: 486.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.50 : 757.26 = 352.67 : x
  2. Step 2: Convert to fraction form
    549.50/757.26 = 352.67/x
  3. Step 3: Cross multiply
    549.50x = 757.26 × 352.67
  4. Step 4: Simplify right side
    549.50x = 267,062.88
  5. Step 5: Solve for x
    x = 267,062.88/549.50
  6. Step 6: Final answer
    x = 486.01

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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.