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Finding the Fourth Proportional to 366.22, 548.27 and 256.40

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Solution

The fourth proportional to 366.22, 548.27 and 256.40 is: 383.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.22 : 548.27 = 256.40 : x
  2. Step 2: Convert to fraction form
    366.22/548.27 = 256.40/x
  3. Step 3: Cross multiply
    366.22x = 548.27 × 256.40
  4. Step 4: Simplify right side
    366.22x = 140,575.42
  5. Step 5: Solve for x
    x = 140,575.42/366.22
  6. Step 6: Final answer
    x = 383.85

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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.