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Finding the Fourth Proportional to 549.10, 757.69 and 300.39

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Solution

The fourth proportional to 549.10, 757.69 and 300.39 is: 414.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.10 : 757.69 = 300.39 : x
  2. Step 2: Convert to fraction form
    549.10/757.69 = 300.39/x
  3. Step 3: Cross multiply
    549.10x = 757.69 × 300.39
  4. Step 4: Simplify right side
    549.10x = 227,602.50
  5. Step 5: Solve for x
    x = 227,602.50/549.10
  6. Step 6: Final answer
    x = 414.50

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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.