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Finding the Fourth Proportional to 548.91, 822.79 and 256.26

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Solution

The fourth proportional to 548.91, 822.79 and 256.26 is: 384.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.91 : 822.79 = 256.26 : x
  2. Step 2: Convert to fraction form
    548.91/822.79 = 256.26/x
  3. Step 3: Cross multiply
    548.91x = 822.79 × 256.26
  4. Step 4: Simplify right side
    548.91x = 210,851.57
  5. Step 5: Solve for x
    x = 210,851.57/548.91
  6. Step 6: Final answer
    x = 384.13

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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.