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Finding the Fourth Proportional to 403.44, 556.56 and 256.29

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Solution

The fourth proportional to 403.44, 556.56 and 256.29 is: 353.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.44 : 556.56 = 256.29 : x
  2. Step 2: Convert to fraction form
    403.44/556.56 = 256.29/x
  3. Step 3: Cross multiply
    403.44x = 556.56 × 256.29
  4. Step 4: Simplify right side
    403.44x = 142,640.76
  5. Step 5: Solve for x
    x = 142,640.76/403.44
  6. Step 6: Final answer
    x = 353.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.