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Finding the Fourth Proportional to 548.40, 821.77 and 240.08

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Solution

The fourth proportional to 548.40, 821.77 and 240.08 is: 359.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.40 : 821.77 = 240.08 : x
  2. Step 2: Convert to fraction form
    548.40/821.77 = 240.08/x
  3. Step 3: Cross multiply
    548.40x = 821.77 × 240.08
  4. Step 4: Simplify right side
    548.40x = 197,290.54
  5. Step 5: Solve for x
    x = 197,290.54/548.40
  6. Step 6: Final answer
    x = 359.76

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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.