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Finding the Fourth Proportional to 548.21, 822.90 and 305.21

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Solution

The fourth proportional to 548.21, 822.90 and 305.21 is: 458.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.21 : 822.90 = 305.21 : x
  2. Step 2: Convert to fraction form
    548.21/822.90 = 305.21/x
  3. Step 3: Cross multiply
    548.21x = 822.90 × 305.21
  4. Step 4: Simplify right side
    548.21x = 251,157.31
  5. Step 5: Solve for x
    x = 251,157.31/548.21
  6. Step 6: Final answer
    x = 458.14

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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.