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Finding the Fourth Proportional to 548.31, 822.47 and 306.37

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Solution

The fourth proportional to 548.31, 822.47 and 306.37 is: 459.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.31 : 822.47 = 306.37 : x
  2. Step 2: Convert to fraction form
    548.31/822.47 = 306.37/x
  3. Step 3: Cross multiply
    548.31x = 822.47 × 306.37
  4. Step 4: Simplify right side
    548.31x = 251,980.13
  5. Step 5: Solve for x
    x = 251,980.13/548.31
  6. Step 6: Final answer
    x = 459.56

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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.