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Finding the Fourth Proportional to 548.69, 822.91 and 256.01

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Solution

The fourth proportional to 548.69, 822.91 and 256.01 is: 383.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.69 : 822.91 = 256.01 : x
  2. Step 2: Convert to fraction form
    548.69/822.91 = 256.01/x
  3. Step 3: Cross multiply
    548.69x = 822.91 × 256.01
  4. Step 4: Simplify right side
    548.69x = 210,673.19
  5. Step 5: Solve for x
    x = 210,673.19/548.69
  6. Step 6: Final answer
    x = 383.96

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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.