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Finding the Fourth Proportional to 549.56, 822.80 and 305.48

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Solution

The fourth proportional to 549.56, 822.80 and 305.48 is: 457.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.56 : 822.80 = 305.48 : x
  2. Step 2: Convert to fraction form
    549.56/822.80 = 305.48/x
  3. Step 3: Cross multiply
    549.56x = 822.80 × 305.48
  4. Step 4: Simplify right side
    549.56x = 251,348.94
  5. Step 5: Solve for x
    x = 251,348.94/549.56
  6. Step 6: Final answer
    x = 457.36

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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.