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Finding the Fourth Proportional to 548.97, 823.53 and 256.77

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Solution

The fourth proportional to 548.97, 823.53 and 256.77 is: 385.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.97 : 823.53 = 256.77 : x
  2. Step 2: Convert to fraction form
    548.97/823.53 = 256.77/x
  3. Step 3: Cross multiply
    548.97x = 823.53 × 256.77
  4. Step 4: Simplify right side
    548.97x = 211,457.80
  5. Step 5: Solve for x
    x = 211,457.80/548.97
  6. Step 6: Final answer
    x = 385.19

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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.