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Finding the Fourth Proportional to 273.64, 407.24 and 256.44

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Solution

The fourth proportional to 273.64, 407.24 and 256.44 is: 381.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.64 : 407.24 = 256.44 : x
  2. Step 2: Convert to fraction form
    273.64/407.24 = 256.44/x
  3. Step 3: Cross multiply
    273.64x = 407.24 × 256.44
  4. Step 4: Simplify right side
    273.64x = 104,432.63
  5. Step 5: Solve for x
    x = 104,432.63/273.64
  6. Step 6: Final answer
    x = 381.64

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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.