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Finding the Fourth Proportional to 548.28, 822.42 and 259.50

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Solution

The fourth proportional to 548.28, 822.42 and 259.50 is: 389.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.28 : 822.42 = 259.50 : x
  2. Step 2: Convert to fraction form
    548.28/822.42 = 259.50/x
  3. Step 3: Cross multiply
    548.28x = 822.42 × 259.50
  4. Step 4: Simplify right side
    548.28x = 213,417.99
  5. Step 5: Solve for x
    x = 213,417.99/548.28
  6. Step 6: Final answer
    x = 389.25

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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.