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Finding the Fourth Proportional to 273.44, 412.24 and 256.40

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Solution

The fourth proportional to 273.44, 412.24 and 256.40 is: 386.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.44 : 412.24 = 256.40 : x
  2. Step 2: Convert to fraction form
    273.44/412.24 = 256.40/x
  3. Step 3: Cross multiply
    273.44x = 412.24 × 256.40
  4. Step 4: Simplify right side
    273.44x = 105,698.34
  5. Step 5: Solve for x
    x = 105,698.34/273.44
  6. Step 6: Final answer
    x = 386.55

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.