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Finding the Fourth Proportional to 548.01, 822.11 and 255.60

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Solution

The fourth proportional to 548.01, 822.11 and 255.60 is: 383.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.01 : 822.11 = 255.60 : x
  2. Step 2: Convert to fraction form
    548.01/822.11 = 255.60/x
  3. Step 3: Cross multiply
    548.01x = 822.11 × 255.60
  4. Step 4: Simplify right side
    548.01x = 210,130.04
  5. Step 5: Solve for x
    x = 210,130.04/548.01
  6. Step 6: Final answer
    x = 383.44

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1.5x scale

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.