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Finding the Fourth Proportional to 549.63, 825.21 and 306.32

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Solution

The fourth proportional to 549.63, 825.21 and 306.32 is: 459.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.63 : 825.21 = 306.32 : x
  2. Step 2: Convert to fraction form
    549.63/825.21 = 306.32/x
  3. Step 3: Cross multiply
    549.63x = 825.21 × 306.32
  4. Step 4: Simplify right side
    549.63x = 252,774.20
  5. Step 5: Solve for x
    x = 252,774.20/549.63
  6. Step 6: Final answer
    x = 459.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.