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Finding the Fourth Proportional to 270.27, 403.73 and 256.95

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Solution

The fourth proportional to 270.27, 403.73 and 256.95 is: 383.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.27 : 403.73 = 256.95 : x
  2. Step 2: Convert to fraction form
    270.27/403.73 = 256.95/x
  3. Step 3: Cross multiply
    270.27x = 403.73 × 256.95
  4. Step 4: Simplify right side
    270.27x = 103,737.14
  5. Step 5: Solve for x
    x = 103,737.14/270.27
  6. Step 6: Final answer
    x = 383.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.