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Finding the Fourth Proportional to 548.70, 821.90 and 256.46

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Solution

The fourth proportional to 548.70, 821.90 and 256.46 is: 384.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.70 : 821.90 = 256.46 : x
  2. Step 2: Convert to fraction form
    548.70/821.90 = 256.46/x
  3. Step 3: Cross multiply
    548.70x = 821.90 × 256.46
  4. Step 4: Simplify right side
    548.70x = 210,781.01
  5. Step 5: Solve for x
    x = 210,781.01/548.70
  6. Step 6: Final answer
    x = 384.15

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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.